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Finding the Third Proportional to 352,468 and 502,458

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Solution

The third proportional to 352,468 and 502,458 is: 716,275.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,468 : 502,458 = 502,458 : x
  2. Step 2: Convert to fraction form
    352,468/502,458 = 502,458/x
  3. Step 3: Cross multiply
    352,468x = 502,458 × 502,458
  4. Step 4: Simplify right side
    352,468x = 252,464,041,764
  5. Step 5: Solve for x
    x = 252,464,041,764/352,468
  6. Step 6: Final answer
    x = 716,275.07

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.