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Finding the Third Proportional to 352,451.25 and 549,730.13

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Solution

The third proportional to 352,451.25 and 549,730.13 is: 857,432.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,451.25 : 549,730.13 = 549,730.13 : x
  2. Step 2: Convert to fraction form
    352,451.25/549,730.13 = 549,730.13/x
  3. Step 3: Cross multiply
    352,451.25x = 549,730.13 × 549,730.13
  4. Step 4: Simplify right side
    352,451.25x = 302,203,210,332.52
  5. Step 5: Solve for x
    x = 302,203,210,332.52/352,451.25
  6. Step 6: Final answer
    x = 857,432.65

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.