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Finding the Third Proportional to 503,445 and 762,479.25

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Solution

The third proportional to 503,445 and 762,479.25 is: 1,154,792.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,445 : 762,479.25 = 762,479.25 : x
  2. Step 2: Convert to fraction form
    503,445/762,479.25 = 762,479.25/x
  3. Step 3: Cross multiply
    503,445x = 762,479.25 × 762,479.25
  4. Step 4: Simplify right side
    503,445x = 581,374,606,680.56
  5. Step 5: Solve for x
    x = 581,374,606,680.56/503,445
  6. Step 6: Final answer
    x = 1,154,792.69

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.