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Finding the Third Proportional to 711,267 and 1,090,657.50

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Solution

The third proportional to 711,267 and 1,090,657.50 is: 1,672,415.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    711,267 : 1,090,657.50 = 1,090,657.50 : x
  2. Step 2: Convert to fraction form
    711,267/1,090,657.50 = 1,090,657.50/x
  3. Step 3: Cross multiply
    711,267x = 1,090,657.50 × 1,090,657.50
  4. Step 4: Simplify right side
    711,267x = 1,189,533,782,306.25
  5. Step 5: Solve for x
    x = 1,189,533,782,306.25/711,267
  6. Step 6: Final answer
    x = 1,672,415.26

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.