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Finding the Third Proportional to 267,547.88 and 391,723.50

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Solution

The third proportional to 267,547.88 and 391,723.50 is: 573,532.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,547.88 : 391,723.50 = 391,723.50 : x
  2. Step 2: Convert to fraction form
    267,547.88/391,723.50 = 391,723.50/x
  3. Step 3: Cross multiply
    267,547.88x = 391,723.50 × 391,723.50
  4. Step 4: Simplify right side
    267,547.88x = 153,447,300,452.25
  5. Step 5: Solve for x
    x = 153,447,300,452.25/267,547.88
  6. Step 6: Final answer
    x = 573,532.12

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.