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Finding the Third Proportional to 499,416 and 768,444

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Solution

The third proportional to 499,416 and 768,444 is: 1,182,393.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,416 : 768,444 = 768,444 : x
  2. Step 2: Convert to fraction form
    499,416/768,444 = 768,444/x
  3. Step 3: Cross multiply
    499,416x = 768,444 × 768,444
  4. Step 4: Simplify right side
    499,416x = 590,506,181,136
  5. Step 5: Solve for x
    x = 590,506,181,136/499,416
  6. Step 6: Final answer
    x = 1,182,393.40

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.