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Finding the Third Proportional to 366,952 and 583,779

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Solution

The third proportional to 366,952 and 583,779 is: 928,726.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,952 : 583,779 = 583,779 : x
  2. Step 2: Convert to fraction form
    366,952/583,779 = 583,779/x
  3. Step 3: Cross multiply
    366,952x = 583,779 × 583,779
  4. Step 4: Simplify right side
    366,952x = 340,797,920,841
  5. Step 5: Solve for x
    x = 340,797,920,841/366,952
  6. Step 6: Final answer
    x = 928,726.16

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.