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Finding the Third Proportional to 344,851.50 and 512,353.50

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Solution

The third proportional to 344,851.50 and 512,353.50 is: 761,214.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,851.50 : 512,353.50 = 512,353.50 : x
  2. Step 2: Convert to fraction form
    344,851.50/512,353.50 = 512,353.50/x
  3. Step 3: Cross multiply
    344,851.50x = 512,353.50 × 512,353.50
  4. Step 4: Simplify right side
    344,851.50x = 262,506,108,962.25
  5. Step 5: Solve for x
    x = 262,506,108,962.25/344,851.50
  6. Step 6: Final answer
    x = 761,214.93

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.