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Finding the Third Proportional to 440,199 and 700,239

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Solution

The third proportional to 440,199 and 700,239 is: 1,113,893.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    440,199 : 700,239 = 700,239 : x
  2. Step 2: Convert to fraction form
    440,199/700,239 = 700,239/x
  3. Step 3: Cross multiply
    440,199x = 700,239 × 700,239
  4. Step 4: Simplify right side
    440,199x = 490,334,657,121
  5. Step 5: Solve for x
    x = 490,334,657,121/440,199
  6. Step 6: Final answer
    x = 1,113,893.16

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.