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Finding the Third Proportional to 507,357 and 802,777.50

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Solution

The third proportional to 507,357 and 802,777.50 is: 1,270,213.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,357 : 802,777.50 = 802,777.50 : x
  2. Step 2: Convert to fraction form
    507,357/802,777.50 = 802,777.50/x
  3. Step 3: Cross multiply
    507,357x = 802,777.50 × 802,777.50
  4. Step 4: Simplify right side
    507,357x = 644,451,714,506.25
  5. Step 5: Solve for x
    x = 644,451,714,506.25/507,357
  6. Step 6: Final answer
    x = 1,270,213.51

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.