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Finding the Third Proportional to 711,008 and 999,984

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Solution

The third proportional to 711,008 and 999,984 is: 1,406,408.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    711,008 : 999,984 = 999,984 : x
  2. Step 2: Convert to fraction form
    711,008/999,984 = 999,984/x
  3. Step 3: Cross multiply
    711,008x = 999,984 × 999,984
  4. Step 4: Simplify right side
    711,008x = 999,968,000,256
  5. Step 5: Solve for x
    x = 999,968,000,256/711,008
  6. Step 6: Final answer
    x = 1,406,408.93

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.