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Finding the Third Proportional to 349,066.13 and 560,047.50

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Solution

The third proportional to 349,066.13 and 560,047.50 is: 898,549.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,066.13 : 560,047.50 = 560,047.50 : x
  2. Step 2: Convert to fraction form
    349,066.13/560,047.50 = 560,047.50/x
  3. Step 3: Cross multiply
    349,066.13x = 560,047.50 × 560,047.50
  4. Step 4: Simplify right side
    349,066.13x = 313,653,202,256.25
  5. Step 5: Solve for x
    x = 313,653,202,256.25/349,066.13
  6. Step 6: Final answer
    x = 898,549.53

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.