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Finding the Third Proportional to 292,634 and 464,332

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Solution

The third proportional to 292,634 and 464,332 is: 736,770.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,634 : 464,332 = 464,332 : x
  2. Step 2: Convert to fraction form
    292,634/464,332 = 464,332/x
  3. Step 3: Cross multiply
    292,634x = 464,332 × 464,332
  4. Step 4: Simplify right side
    292,634x = 215,604,206,224
  5. Step 5: Solve for x
    x = 215,604,206,224/292,634
  6. Step 6: Final answer
    x = 736,770.87

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.