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Finding the Third Proportional to 287,734 and 435,597

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Solution

The third proportional to 287,734 and 435,597 is: 659,445.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,734 : 435,597 = 435,597 : x
  2. Step 2: Convert to fraction form
    287,734/435,597 = 435,597/x
  3. Step 3: Cross multiply
    287,734x = 435,597 × 435,597
  4. Step 4: Simplify right side
    287,734x = 189,744,746,409
  5. Step 5: Solve for x
    x = 189,744,746,409/287,734
  6. Step 6: Final answer
    x = 659,445.00

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.