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Finding the Third Proportional to 610,442 and 898,014.50

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Solution

The third proportional to 610,442 and 898,014.50 is: 1,321,059.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,442 : 898,014.50 = 898,014.50 : x
  2. Step 2: Convert to fraction form
    610,442/898,014.50 = 898,014.50/x
  3. Step 3: Cross multiply
    610,442x = 898,014.50 × 898,014.50
  4. Step 4: Simplify right side
    610,442x = 806,430,042,210.25
  5. Step 5: Solve for x
    x = 806,430,042,210.25/610,442
  6. Step 6: Final answer
    x = 1,321,059.24

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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.