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Finding the Third Proportional to 207,424 and 314,854

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Solution

The third proportional to 207,424 and 314,854 is: 477,924.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,424 : 314,854 = 314,854 : x
  2. Step 2: Convert to fraction form
    207,424/314,854 = 314,854/x
  3. Step 3: Cross multiply
    207,424x = 314,854 × 314,854
  4. Step 4: Simplify right side
    207,424x = 99,133,041,316
  5. Step 5: Solve for x
    x = 99,133,041,316/207,424
  6. Step 6: Final answer
    x = 477,924.64

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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.