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Finding the Third Proportional to 610,592 and 898,220

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Solution

The third proportional to 610,592 and 898,220 is: 1,321,339.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,592 : 898,220 = 898,220 : x
  2. Step 2: Convert to fraction form
    610,592/898,220 = 898,220/x
  3. Step 3: Cross multiply
    610,592x = 898,220 × 898,220
  4. Step 4: Simplify right side
    610,592x = 806,799,168,400
  5. Step 5: Solve for x
    x = 806,799,168,400/610,592
  6. Step 6: Final answer
    x = 1,321,339.24

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Why These Related Problems?

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