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Finding the Third Proportional to 583,713.84 and 745,853.91

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Solution

The third proportional to 583,713.84 and 745,853.91 is: 953,032.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,713.84 : 745,853.91 = 745,853.91 : x
  2. Step 2: Convert to fraction form
    583,713.84/745,853.91 = 745,853.91/x
  3. Step 3: Cross multiply
    583,713.84x = 745,853.91 × 745,853.91
  4. Step 4: Simplify right side
    583,713.84x = 556,298,049,468.38
  5. Step 5: Solve for x
    x = 556,298,049,468.38/583,713.84
  6. Step 6: Final answer
    x = 953,032.13

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.