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Finding the Third Proportional to 489,952 and 734,932

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Solution

The third proportional to 489,952 and 734,932 is: 1,102,404.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,952 : 734,932 = 734,932 : x
  2. Step 2: Convert to fraction form
    489,952/734,932 = 734,932/x
  3. Step 3: Cross multiply
    489,952x = 734,932 × 734,932
  4. Step 4: Simplify right side
    489,952x = 540,125,044,624
  5. Step 5: Solve for x
    x = 540,125,044,624/489,952
  6. Step 6: Final answer
    x = 1,102,404.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.