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Finding the Third Proportional to 728,445 and 1,097,527.50

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Solution

The third proportional to 728,445 and 1,097,527.50 is: 1,653,613.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    728,445 : 1,097,527.50 = 1,097,527.50 : x
  2. Step 2: Convert to fraction form
    728,445/1,097,527.50 = 1,097,527.50/x
  3. Step 3: Cross multiply
    728,445x = 1,097,527.50 × 1,097,527.50
  4. Step 4: Simplify right side
    728,445x = 1,204,566,613,256.25
  5. Step 5: Solve for x
    x = 1,204,566,613,256.25/728,445
  6. Step 6: Final answer
    x = 1,653,613.67

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.