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Finding the Third Proportional to 348,335.28 and 538,354.40

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Solution

The third proportional to 348,335.28 and 538,354.40 is: 832,030.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,335.28 : 538,354.40 = 538,354.40 : x
  2. Step 2: Convert to fraction form
    348,335.28/538,354.40 = 538,354.40/x
  3. Step 3: Cross multiply
    348,335.28x = 538,354.40 × 538,354.40
  4. Step 4: Simplify right side
    348,335.28x = 289,825,457,265.52
  5. Step 5: Solve for x
    x = 289,825,457,265.52/348,335.28
  6. Step 6: Final answer
    x = 832,030.16

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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.