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Finding the Third Proportional to 460,332 and 706,536

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Solution

The third proportional to 460,332 and 706,536 is: 1,084,419.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,332 : 706,536 = 706,536 : x
  2. Step 2: Convert to fraction form
    460,332/706,536 = 706,536/x
  3. Step 3: Cross multiply
    460,332x = 706,536 × 706,536
  4. Step 4: Simplify right side
    460,332x = 499,193,119,296
  5. Step 5: Solve for x
    x = 499,193,119,296/460,332
  6. Step 6: Final answer
    x = 1,084,419.77

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.