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Finding the Third Proportional to 319,371 and 695,442

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Solution

The third proportional to 319,371 and 695,442 is: 1,514,350.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,371 : 695,442 = 695,442 : x
  2. Step 2: Convert to fraction form
    319,371/695,442 = 695,442/x
  3. Step 3: Cross multiply
    319,371x = 695,442 × 695,442
  4. Step 4: Simplify right side
    319,371x = 483,639,575,364
  5. Step 5: Solve for x
    x = 483,639,575,364/319,371
  6. Step 6: Final answer
    x = 1,514,350.32

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.