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Finding the Third Proportional to 532,150 and 842,488

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Solution

The third proportional to 532,150 and 842,488 is: 1,333,808.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,150 : 842,488 = 842,488 : x
  2. Step 2: Convert to fraction form
    532,150/842,488 = 842,488/x
  3. Step 3: Cross multiply
    532,150x = 842,488 × 842,488
  4. Step 4: Simplify right side
    532,150x = 709,786,030,144
  5. Step 5: Solve for x
    x = 709,786,030,144/532,150
  6. Step 6: Final answer
    x = 1,333,808.19

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.