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Finding the Third Proportional to 352,476 and 502,470

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Solution

The third proportional to 352,476 and 502,470 is: 716,293.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,476 : 502,470 = 502,470 : x
  2. Step 2: Convert to fraction form
    352,476/502,470 = 502,470/x
  3. Step 3: Cross multiply
    352,476x = 502,470 × 502,470
  4. Step 4: Simplify right side
    352,476x = 252,476,100,900
  5. Step 5: Solve for x
    x = 252,476,100,900/352,476
  6. Step 6: Final answer
    x = 716,293.03

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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.