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Finding the Third Proportional to 540,335 and 847,596

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Solution

The third proportional to 540,335 and 847,596 is: 1,329,580.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,335 : 847,596 = 847,596 : x
  2. Step 2: Convert to fraction form
    540,335/847,596 = 847,596/x
  3. Step 3: Cross multiply
    540,335x = 847,596 × 847,596
  4. Step 4: Simplify right side
    540,335x = 718,418,979,216
  5. Step 5: Solve for x
    x = 718,418,979,216/540,335
  6. Step 6: Final answer
    x = 1,329,580.68

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.