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Finding the Third Proportional to 349,035.75 and 559,996.88

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Solution

The third proportional to 349,035.75 and 559,996.88 is: 898,465.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,035.75 : 559,996.88 = 559,996.88 : x
  2. Step 2: Convert to fraction form
    349,035.75/559,996.88 = 559,996.88/x
  3. Step 3: Cross multiply
    349,035.75x = 559,996.88 × 559,996.88
  4. Step 4: Simplify right side
    349,035.75x = 313,596,500,009.77
  5. Step 5: Solve for x
    x = 313,596,500,009.77/349,035.75
  6. Step 6: Final answer
    x = 898,465.27

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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.