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Finding the Third Proportional to 350,127 and 540,742.50

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Solution

The third proportional to 350,127 and 540,742.50 is: 835,132.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,127 : 540,742.50 = 540,742.50 : x
  2. Step 2: Convert to fraction form
    350,127/540,742.50 = 540,742.50/x
  3. Step 3: Cross multiply
    350,127x = 540,742.50 × 540,742.50
  4. Step 4: Simplify right side
    350,127x = 292,402,451,306.25
  5. Step 5: Solve for x
    x = 292,402,451,306.25/350,127
  6. Step 6: Final answer
    x = 835,132.54

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.