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Finding the Third Proportional to 457,243 and 616,798

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Solution

The third proportional to 457,243 and 616,798 is: 832,029.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,243 : 616,798 = 616,798 : x
  2. Step 2: Convert to fraction form
    457,243/616,798 = 616,798/x
  3. Step 3: Cross multiply
    457,243x = 616,798 × 616,798
  4. Step 4: Simplify right side
    457,243x = 380,439,772,804
  5. Step 5: Solve for x
    x = 380,439,772,804/457,243
  6. Step 6: Final answer
    x = 832,029.74

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.