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Finding the Third Proportional to 650,359.13 and 708,360.19

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Solution

The third proportional to 650,359.13 and 708,360.19 is: 771,533.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,359.13 : 708,360.19 = 708,360.19 : x
  2. Step 2: Convert to fraction form
    650,359.13/708,360.19 = 708,360.19/x
  3. Step 3: Cross multiply
    650,359.13x = 708,360.19 × 708,360.19
  4. Step 4: Simplify right side
    650,359.13x = 501,774,155,235.04
  5. Step 5: Solve for x
    x = 501,774,155,235.04/650,359.13
  6. Step 6: Final answer
    x = 771,533.97

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.