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Finding the Third Proportional to 347,385.59 and 501,700.08

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Solution

The third proportional to 347,385.59 and 501,700.08 is: 724,563.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,385.59 : 501,700.08 = 501,700.08 : x
  2. Step 2: Convert to fraction form
    347,385.59/501,700.08 = 501,700.08/x
  3. Step 3: Cross multiply
    347,385.59x = 501,700.08 × 501,700.08
  4. Step 4: Simplify right side
    347,385.59x = 251,702,968,390.63
  5. Step 5: Solve for x
    x = 251,702,968,390.63/347,385.59
  6. Step 6: Final answer
    x = 724,563.65

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.