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Finding the Third Proportional to 451,436 and 714,226

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Solution

The third proportional to 451,436 and 714,226 is: 1,129,991.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,436 : 714,226 = 714,226 : x
  2. Step 2: Convert to fraction form
    451,436/714,226 = 714,226/x
  3. Step 3: Cross multiply
    451,436x = 714,226 × 714,226
  4. Step 4: Simplify right side
    451,436x = 510,118,779,076
  5. Step 5: Solve for x
    x = 510,118,779,076/451,436
  6. Step 6: Final answer
    x = 1,129,991.36

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.