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Finding the Third Proportional to 463,604 and 716,421

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Solution

The third proportional to 463,604 and 716,421 is: 1,107,106.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,604 : 716,421 = 716,421 : x
  2. Step 2: Convert to fraction form
    463,604/716,421 = 716,421/x
  3. Step 3: Cross multiply
    463,604x = 716,421 × 716,421
  4. Step 4: Simplify right side
    463,604x = 513,259,049,241
  5. Step 5: Solve for x
    x = 513,259,049,241/463,604
  6. Step 6: Final answer
    x = 1,107,106.60

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.