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Finding the Third Proportional to 656,229 and 938,398.50

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Solution

The third proportional to 656,229 and 938,398.50 is: 1,341,897.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,229 : 938,398.50 = 938,398.50 : x
  2. Step 2: Convert to fraction form
    656,229/938,398.50 = 938,398.50/x
  3. Step 3: Cross multiply
    656,229x = 938,398.50 × 938,398.50
  4. Step 4: Simplify right side
    656,229x = 880,591,744,802.25
  5. Step 5: Solve for x
    x = 880,591,744,802.25/656,229
  6. Step 6: Final answer
    x = 1,341,897.03

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.