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Finding the Third Proportional to 287,258 and 402,532

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Solution

The third proportional to 287,258 and 402,532 is: 564,064.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,258 : 402,532 = 402,532 : x
  2. Step 2: Convert to fraction form
    287,258/402,532 = 402,532/x
  3. Step 3: Cross multiply
    287,258x = 402,532 × 402,532
  4. Step 4: Simplify right side
    287,258x = 162,032,011,024
  5. Step 5: Solve for x
    x = 162,032,011,024/287,258
  6. Step 6: Final answer
    x = 564,064.40

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.