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Finding the Third Proportional to 758,216 and 1,140,402

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Solution

The third proportional to 758,216 and 1,140,402 is: 1,715,232.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    758,216 : 1,140,402 = 1,140,402 : x
  2. Step 2: Convert to fraction form
    758,216/1,140,402 = 1,140,402/x
  3. Step 3: Cross multiply
    758,216x = 1,140,402 × 1,140,402
  4. Step 4: Simplify right side
    758,216x = 1,300,516,721,604
  5. Step 5: Solve for x
    x = 1,300,516,721,604/758,216
  6. Step 6: Final answer
    x = 1,715,232.50

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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.