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Finding the Third Proportional to 257,317 and 564,480

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Solution

The third proportional to 257,317 and 564,480 is: 1,238,307.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,317 : 564,480 = 564,480 : x
  2. Step 2: Convert to fraction form
    257,317/564,480 = 564,480/x
  3. Step 3: Cross multiply
    257,317x = 564,480 × 564,480
  4. Step 4: Simplify right side
    257,317x = 318,637,670,400
  5. Step 5: Solve for x
    x = 318,637,670,400/257,317
  6. Step 6: Final answer
    x = 1,238,307.89

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.