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Finding the Third Proportional to 242,386 and 519,332

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Solution

The third proportional to 242,386 and 519,332 is: 1,112,711.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,386 : 519,332 = 519,332 : x
  2. Step 2: Convert to fraction form
    242,386/519,332 = 519,332/x
  3. Step 3: Cross multiply
    242,386x = 519,332 × 519,332
  4. Step 4: Simplify right side
    242,386x = 269,705,726,224
  5. Step 5: Solve for x
    x = 269,705,726,224/242,386
  6. Step 6: Final answer
    x = 1,112,711.65

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.