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Finding the Third Proportional to 319,436 and 695,528

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Solution

The third proportional to 319,436 and 695,528 is: 1,514,416.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,436 : 695,528 = 695,528 : x
  2. Step 2: Convert to fraction form
    319,436/695,528 = 695,528/x
  3. Step 3: Cross multiply
    319,436x = 695,528 × 695,528
  4. Step 4: Simplify right side
    319,436x = 483,759,198,784
  5. Step 5: Solve for x
    x = 483,759,198,784/319,436
  6. Step 6: Final answer
    x = 1,514,416.66

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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.