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Finding the Third Proportional to 426,721.50 and 907,753.50

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Solution

The third proportional to 426,721.50 and 907,753.50 is: 1,931,040.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,721.50 : 907,753.50 = 907,753.50 : x
  2. Step 2: Convert to fraction form
    426,721.50/907,753.50 = 907,753.50/x
  3. Step 3: Cross multiply
    426,721.50x = 907,753.50 × 907,753.50
  4. Step 4: Simplify right side
    426,721.50x = 824,016,416,762.25
  5. Step 5: Solve for x
    x = 824,016,416,762.25/426,721.50
  6. Step 6: Final answer
    x = 1,931,040.31

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.