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Finding the Third Proportional to 549,757.13 and 849,512.81

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Solution

The third proportional to 549,757.13 and 849,512.81 is: 1,312,710.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,757.13 : 849,512.81 = 849,512.81 : x
  2. Step 2: Convert to fraction form
    549,757.13/849,512.81 = 849,512.81/x
  3. Step 3: Cross multiply
    549,757.13x = 849,512.81 × 849,512.81
  4. Step 4: Simplify right side
    549,757.13x = 721,672,018,601.66
  5. Step 5: Solve for x
    x = 721,672,018,601.66/549,757.13
  6. Step 6: Final answer
    x = 1,312,710.62

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.