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Finding the Third Proportional to 480,957.75 and 761,543.44

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Solution

The third proportional to 480,957.75 and 761,543.44 is: 1,205,819.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    480,957.75 : 761,543.44 = 761,543.44 : x
  2. Step 2: Convert to fraction form
    480,957.75/761,543.44 = 761,543.44/x
  3. Step 3: Cross multiply
    480,957.75x = 761,543.44 × 761,543.44
  4. Step 4: Simplify right side
    480,957.75x = 579,948,407,199.32
  5. Step 5: Solve for x
    x = 579,948,407,199.32/480,957.75
  6. Step 6: Final answer
    x = 1,205,819.86

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.