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Finding the Third Proportional to 560,304.38 and 841,030.31

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Solution

The third proportional to 560,304.38 and 841,030.31 is: 1,262,406.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,304.38 : 841,030.31 = 841,030.31 : x
  2. Step 2: Convert to fraction form
    560,304.38/841,030.31 = 841,030.31/x
  3. Step 3: Cross multiply
    560,304.38x = 841,030.31 × 841,030.31
  4. Step 4: Simplify right side
    560,304.38x = 707,331,986,543.85
  5. Step 5: Solve for x
    x = 707,331,986,543.85/560,304.38
  6. Step 6: Final answer
    x = 1,262,406.68

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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.