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Finding the Third Proportional to 302,688 and 657,864

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Solution

The third proportional to 302,688 and 657,864 is: 1,429,805.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,688 : 657,864 = 657,864 : x
  2. Step 2: Convert to fraction form
    302,688/657,864 = 657,864/x
  3. Step 3: Cross multiply
    302,688x = 657,864 × 657,864
  4. Step 4: Simplify right side
    302,688x = 432,785,042,496
  5. Step 5: Solve for x
    x = 432,785,042,496/302,688
  6. Step 6: Final answer
    x = 1,429,805.75

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.