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Finding the Third Proportional to 592,359.75 and 953,947.13

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Solution

The third proportional to 592,359.75 and 953,947.13 is: 1,536,254.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    592,359.75 : 953,947.13 = 953,947.13 : x
  2. Step 2: Convert to fraction form
    592,359.75/953,947.13 = 953,947.13/x
  3. Step 3: Cross multiply
    592,359.75x = 953,947.13 × 953,947.13
  4. Step 4: Simplify right side
    592,359.75x = 910,015,117,295.77
  5. Step 5: Solve for x
    x = 910,015,117,295.77/592,359.75
  6. Step 6: Final answer
    x = 1,536,254.14

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.