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Finding the Third Proportional to 655,029 and 1,041,592.50

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Solution

The third proportional to 655,029 and 1,041,592.50 is: 1,656,285.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    655,029 : 1,041,592.50 = 1,041,592.50 : x
  2. Step 2: Convert to fraction form
    655,029/1,041,592.50 = 1,041,592.50/x
  3. Step 3: Cross multiply
    655,029x = 1,041,592.50 × 1,041,592.50
  4. Step 4: Simplify right side
    655,029x = 1,084,914,936,056.25
  5. Step 5: Solve for x
    x = 1,084,914,936,056.25/655,029
  6. Step 6: Final answer
    x = 1,656,285.35

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.