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Finding the Third Proportional to 560,647.50 and 840,798

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Solution

The third proportional to 560,647.50 and 840,798 is: 1,260,937.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,647.50 : 840,798 = 840,798 : x
  2. Step 2: Convert to fraction form
    560,647.50/840,798 = 840,798/x
  3. Step 3: Cross multiply
    560,647.50x = 840,798 × 840,798
  4. Step 4: Simplify right side
    560,647.50x = 706,941,276,804
  5. Step 5: Solve for x
    x = 706,941,276,804/560,647.50
  6. Step 6: Final answer
    x = 1,260,937.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.