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Finding the Third Proportional to 304,602 and 657,498

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Solution

The third proportional to 304,602 and 657,498 is: 1,419,240.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,602 : 657,498 = 657,498 : x
  2. Step 2: Convert to fraction form
    304,602/657,498 = 657,498/x
  3. Step 3: Cross multiply
    304,602x = 657,498 × 657,498
  4. Step 4: Simplify right side
    304,602x = 432,303,620,004
  5. Step 5: Solve for x
    x = 432,303,620,004/304,602
  6. Step 6: Final answer
    x = 1,419,240.91

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.