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Finding the Third Proportional to 347,681.25 and 538,060.50

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Solution

The third proportional to 347,681.25 and 538,060.50 is: 832,685.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,681.25 : 538,060.50 = 538,060.50 : x
  2. Step 2: Convert to fraction form
    347,681.25/538,060.50 = 538,060.50/x
  3. Step 3: Cross multiply
    347,681.25x = 538,060.50 × 538,060.50
  4. Step 4: Simplify right side
    347,681.25x = 289,509,101,660.25
  5. Step 5: Solve for x
    x = 289,509,101,660.25/347,681.25
  6. Step 6: Final answer
    x = 832,685.40

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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.