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Finding the Third Proportional to 469,315.13 and 727,030.88

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Solution

The third proportional to 469,315.13 and 727,030.88 is: 1,126,266.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,315.13 : 727,030.88 = 727,030.88 : x
  2. Step 2: Convert to fraction form
    469,315.13/727,030.88 = 727,030.88/x
  3. Step 3: Cross multiply
    469,315.13x = 727,030.88 × 727,030.88
  4. Step 4: Simplify right side
    469,315.13x = 528,573,893,203.27
  5. Step 5: Solve for x
    x = 528,573,893,203.27/469,315.13
  6. Step 6: Final answer
    x = 1,126,266.48

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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.