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Finding the Third Proportional to 330,862 and 700,724

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Solution

The third proportional to 330,862 and 700,724 is: 1,484,045.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,862 : 700,724 = 700,724 : x
  2. Step 2: Convert to fraction form
    330,862/700,724 = 700,724/x
  3. Step 3: Cross multiply
    330,862x = 700,724 × 700,724
  4. Step 4: Simplify right side
    330,862x = 491,014,124,176
  5. Step 5: Solve for x
    x = 491,014,124,176/330,862
  6. Step 6: Final answer
    x = 1,484,045.08

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.