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Finding the Third Proportional to 402,258 and 596,429

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Solution

The third proportional to 402,258 and 596,429 is: 884,326.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,258 : 596,429 = 596,429 : x
  2. Step 2: Convert to fraction form
    402,258/596,429 = 596,429/x
  3. Step 3: Cross multiply
    402,258x = 596,429 × 596,429
  4. Step 4: Simplify right side
    402,258x = 355,727,552,041
  5. Step 5: Solve for x
    x = 355,727,552,041/402,258
  6. Step 6: Final answer
    x = 884,326.86

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.