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Finding the Third Proportional to 715,358.50 and 1,074,421.50

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Solution

The third proportional to 715,358.50 and 1,074,421.50 is: 1,613,710.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    715,358.50 : 1,074,421.50 = 1,074,421.50 : x
  2. Step 2: Convert to fraction form
    715,358.50/1,074,421.50 = 1,074,421.50/x
  3. Step 3: Cross multiply
    715,358.50x = 1,074,421.50 × 1,074,421.50
  4. Step 4: Simplify right side
    715,358.50x = 1,154,381,559,662.25
  5. Step 5: Solve for x
    x = 1,154,381,559,662.25/715,358.50
  6. Step 6: Final answer
    x = 1,613,710.55

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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.