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Finding the Third Proportional to 510,732 and 808,332

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Solution

The third proportional to 510,732 and 808,332 is: 1,279,341.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,732 : 808,332 = 808,332 : x
  2. Step 2: Convert to fraction form
    510,732/808,332 = 808,332/x
  3. Step 3: Cross multiply
    510,732x = 808,332 × 808,332
  4. Step 4: Simplify right side
    510,732x = 653,400,622,224
  5. Step 5: Solve for x
    x = 653,400,622,224/510,732
  6. Step 6: Final answer
    x = 1,279,341.46

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.