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Finding the Third Proportional to 532,248 and 842,689

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Solution

The third proportional to 532,248 and 842,689 is: 1,334,199.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,248 : 842,689 = 842,689 : x
  2. Step 2: Convert to fraction form
    532,248/842,689 = 842,689/x
  3. Step 3: Cross multiply
    532,248x = 842,689 × 842,689
  4. Step 4: Simplify right side
    532,248x = 710,124,750,721
  5. Step 5: Solve for x
    x = 710,124,750,721/532,248
  6. Step 6: Final answer
    x = 1,334,199.00

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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.