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Finding the Third Proportional to 348,341 and 538,363

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Solution

The third proportional to 348,341 and 538,363 is: 832,043.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,341 : 538,363 = 538,363 : x
  2. Step 2: Convert to fraction form
    348,341/538,363 = 538,363/x
  3. Step 3: Cross multiply
    348,341x = 538,363 × 538,363
  4. Step 4: Simplify right side
    348,341x = 289,834,719,769
  5. Step 5: Solve for x
    x = 289,834,719,769/348,341
  6. Step 6: Final answer
    x = 832,043.08

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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.