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Finding the Third Proportional to 434,310 and 626,551.50

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Solution

The third proportional to 434,310 and 626,551.50 is: 903,886.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,310 : 626,551.50 = 626,551.50 : x
  2. Step 2: Convert to fraction form
    434,310/626,551.50 = 626,551.50/x
  3. Step 3: Cross multiply
    434,310x = 626,551.50 × 626,551.50
  4. Step 4: Simplify right side
    434,310x = 392,566,782,152.25
  5. Step 5: Solve for x
    x = 392,566,782,152.25/434,310
  6. Step 6: Final answer
    x = 903,886.12

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.