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Finding the Third Proportional to 624,530.25 and 1,337,565.66

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Solution

The third proportional to 624,530.25 and 1,337,565.66 is: 2,864,684.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    624,530.25 : 1,337,565.66 = 1,337,565.66 : x
  2. Step 2: Convert to fraction form
    624,530.25/1,337,565.66 = 1,337,565.66/x
  3. Step 3: Cross multiply
    624,530.25x = 1,337,565.66 × 1,337,565.66
  4. Step 4: Simplify right side
    624,530.25x = 1,789,081,884,779.49
  5. Step 5: Solve for x
    x = 1,789,081,884,779.49/624,530.25
  6. Step 6: Final answer
    x = 2,864,684.11

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.