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Finding the Third Proportional to 302,952 and 469,074

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Solution

The third proportional to 302,952 and 469,074 is: 726,288.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,952 : 469,074 = 469,074 : x
  2. Step 2: Convert to fraction form
    302,952/469,074 = 469,074/x
  3. Step 3: Cross multiply
    302,952x = 469,074 × 469,074
  4. Step 4: Simplify right side
    302,952x = 220,030,417,476
  5. Step 5: Solve for x
    x = 220,030,417,476/302,952
  6. Step 6: Final answer
    x = 726,288.05

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.