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Finding the Third Proportional to 265,824.75 and 404,281.50

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Solution

The third proportional to 265,824.75 and 404,281.50 is: 614,854.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,824.75 : 404,281.50 = 404,281.50 : x
  2. Step 2: Convert to fraction form
    265,824.75/404,281.50 = 404,281.50/x
  3. Step 3: Cross multiply
    265,824.75x = 404,281.50 × 404,281.50
  4. Step 4: Simplify right side
    265,824.75x = 163,443,531,242.25
  5. Step 5: Solve for x
    x = 163,443,531,242.25/265,824.75
  6. Step 6: Final answer
    x = 614,854.45

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.