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Finding the Third Proportional to 507,788,554.50 and 701,648,456.63

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Solution

The third proportional to 507,788,554.50 and 701,648,456.63 is: 969,518,813.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,788,554.50 : 701,648,456.63 = 701,648,456.63 : x
  2. Step 2: Convert to fraction form
    507,788,554.50/701,648,456.63 = 701,648,456.63/x
  3. Step 3: Cross multiply
    507,788,554.50x = 701,648,456.63 × 701,648,456.63
  4. Step 4: Simplify right side
    507,788,554.50x = 492,310,556,684,244,480
  5. Step 5: Solve for x
    x = 492,310,556,684,244,480/507,788,554.50
  6. Step 6: Final answer
    x = 969,518,813.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.