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Finding the Third Proportional to 564,258 and 765,468

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Solution

The third proportional to 564,258 and 765,468 is: 1,038,427.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,258 : 765,468 = 765,468 : x
  2. Step 2: Convert to fraction form
    564,258/765,468 = 765,468/x
  3. Step 3: Cross multiply
    564,258x = 765,468 × 765,468
  4. Step 4: Simplify right side
    564,258x = 585,941,259,024
  5. Step 5: Solve for x
    x = 585,941,259,024/564,258
  6. Step 6: Final answer
    x = 1,038,427.92

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.