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Finding the Third Proportional to 245,634 and 390,599

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Solution

The third proportional to 245,634 and 390,599 is: 621,117.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,634 : 390,599 = 390,599 : x
  2. Step 2: Convert to fraction form
    245,634/390,599 = 390,599/x
  3. Step 3: Cross multiply
    245,634x = 390,599 × 390,599
  4. Step 4: Simplify right side
    245,634x = 152,567,578,801
  5. Step 5: Solve for x
    x = 152,567,578,801/245,634
  6. Step 6: Final answer
    x = 621,117.51

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.