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Finding the Third Proportional to 610,437 and 898,006.50

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Solution

The third proportional to 610,437 and 898,006.50 is: 1,321,046.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,437 : 898,006.50 = 898,006.50 : x
  2. Step 2: Convert to fraction form
    610,437/898,006.50 = 898,006.50/x
  3. Step 3: Cross multiply
    610,437x = 898,006.50 × 898,006.50
  4. Step 4: Simplify right side
    610,437x = 806,415,674,042.25
  5. Step 5: Solve for x
    x = 806,415,674,042.25/610,437
  6. Step 6: Final answer
    x = 1,321,046.52

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.