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Finding the Third Proportional to 466,484.50 and 700,089

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Solution

The third proportional to 466,484.50 and 700,089 is: 1,050,677.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,484.50 : 700,089 = 700,089 : x
  2. Step 2: Convert to fraction form
    466,484.50/700,089 = 700,089/x
  3. Step 3: Cross multiply
    466,484.50x = 700,089 × 700,089
  4. Step 4: Simplify right side
    466,484.50x = 490,124,607,921
  5. Step 5: Solve for x
    x = 490,124,607,921/466,484.50
  6. Step 6: Final answer
    x = 1,050,677.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.