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Finding the Third Proportional to 347,250 and 704,152.50

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Solution

The third proportional to 347,250 and 704,152.50 is: 1,427,878.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,250 : 704,152.50 = 704,152.50 : x
  2. Step 2: Convert to fraction form
    347,250/704,152.50 = 704,152.50/x
  3. Step 3: Cross multiply
    347,250x = 704,152.50 × 704,152.50
  4. Step 4: Simplify right side
    347,250x = 495,830,743,256.25
  5. Step 5: Solve for x
    x = 495,830,743,256.25/347,250
  6. Step 6: Final answer
    x = 1,427,878.31

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.