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Finding the Third Proportional to 476,734 and 706,854

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Solution

The third proportional to 476,734 and 706,854 is: 1,048,053.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,734 : 706,854 = 706,854 : x
  2. Step 2: Convert to fraction form
    476,734/706,854 = 706,854/x
  3. Step 3: Cross multiply
    476,734x = 706,854 × 706,854
  4. Step 4: Simplify right side
    476,734x = 499,642,577,316
  5. Step 5: Solve for x
    x = 499,642,577,316/476,734
  6. Step 6: Final answer
    x = 1,048,053.16

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.