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Finding the Third Proportional to 700,848.07 and 920,257.14

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Solution

The third proportional to 700,848.07 and 920,257.14 is: 1,208,354.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    700,848.07 : 920,257.14 = 920,257.14 : x
  2. Step 2: Convert to fraction form
    700,848.07/920,257.14 = 920,257.14/x
  3. Step 3: Cross multiply
    700,848.07x = 920,257.14 × 920,257.14
  4. Step 4: Simplify right side
    700,848.07x = 846,873,197,681.79
  5. Step 5: Solve for x
    x = 846,873,197,681.79/700,848.07
  6. Step 6: Final answer
    x = 1,208,354.90

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.