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Finding the Third Proportional to 346,456.50 and 759,117

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Solution

The third proportional to 346,456.50 and 759,117 is: 1,663,292.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,456.50 : 759,117 = 759,117 : x
  2. Step 2: Convert to fraction form
    346,456.50/759,117 = 759,117/x
  3. Step 3: Cross multiply
    346,456.50x = 759,117 × 759,117
  4. Step 4: Simplify right side
    346,456.50x = 576,258,619,689
  5. Step 5: Solve for x
    x = 576,258,619,689/346,456.50
  6. Step 6: Final answer
    x = 1,663,292.85

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.