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Finding the Third Proportional to 549,006.75 and 820,275.75

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Solution

The third proportional to 549,006.75 and 820,275.75 is: 1,225,581.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,006.75 : 820,275.75 = 820,275.75 : x
  2. Step 2: Convert to fraction form
    549,006.75/820,275.75 = 820,275.75/x
  3. Step 3: Cross multiply
    549,006.75x = 820,275.75 × 820,275.75
  4. Step 4: Simplify right side
    549,006.75x = 672,852,306,038.06
  5. Step 5: Solve for x
    x = 672,852,306,038.06/549,006.75
  6. Step 6: Final answer
    x = 1,225,581.12

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.