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Finding the Third Proportional to 610,368.50 and 898,689

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Solution

The third proportional to 610,368.50 and 898,689 is: 1,323,203.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,368.50 : 898,689 = 898,689 : x
  2. Step 2: Convert to fraction form
    610,368.50/898,689 = 898,689/x
  3. Step 3: Cross multiply
    610,368.50x = 898,689 × 898,689
  4. Step 4: Simplify right side
    610,368.50x = 807,641,918,721
  5. Step 5: Solve for x
    x = 807,641,918,721/610,368.50
  6. Step 6: Final answer
    x = 1,323,203.80

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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.