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Finding the Third Proportional to 600,397 and 912,980.50

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Solution

The third proportional to 600,397 and 912,980.50 is: 1,388,303.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,397 : 912,980.50 = 912,980.50 : x
  2. Step 2: Convert to fraction form
    600,397/912,980.50 = 912,980.50/x
  3. Step 3: Cross multiply
    600,397x = 912,980.50 × 912,980.50
  4. Step 4: Simplify right side
    600,397x = 833,533,393,380.25
  5. Step 5: Solve for x
    x = 833,533,393,380.25/600,397
  6. Step 6: Final answer
    x = 1,388,303.73

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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.