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Finding the Third Proportional to 346,050 and 743,850

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Solution

The third proportional to 346,050 and 743,850 is: 1,598,938.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,050 : 743,850 = 743,850 : x
  2. Step 2: Convert to fraction form
    346,050/743,850 = 743,850/x
  3. Step 3: Cross multiply
    346,050x = 743,850 × 743,850
  4. Step 4: Simplify right side
    346,050x = 553,312,822,500
  5. Step 5: Solve for x
    x = 553,312,822,500/346,050
  6. Step 6: Final answer
    x = 1,598,938.95

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.