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Finding the Third Proportional to 714,403 and 1,088,353

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Solution

The third proportional to 714,403 and 1,088,353 is: 1,658,044.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,403 : 1,088,353 = 1,088,353 : x
  2. Step 2: Convert to fraction form
    714,403/1,088,353 = 1,088,353/x
  3. Step 3: Cross multiply
    714,403x = 1,088,353 × 1,088,353
  4. Step 4: Simplify right side
    714,403x = 1,184,512,252,609
  5. Step 5: Solve for x
    x = 1,184,512,252,609/714,403
  6. Step 6: Final answer
    x = 1,658,044.90

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.