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Finding the Third Proportional to 346,221 and 781,348.50

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Solution

The third proportional to 346,221 and 781,348.50 is: 1,763,340.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,221 : 781,348.50 = 781,348.50 : x
  2. Step 2: Convert to fraction form
    346,221/781,348.50 = 781,348.50/x
  3. Step 3: Cross multiply
    346,221x = 781,348.50 × 781,348.50
  4. Step 4: Simplify right side
    346,221x = 610,505,478,452.25
  5. Step 5: Solve for x
    x = 610,505,478,452.25/346,221
  6. Step 6: Final answer
    x = 1,763,340.41

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.