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Finding the Third Proportional to 438,426 and 657,645

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Solution

The third proportional to 438,426 and 657,645 is: 986,476.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,426 : 657,645 = 657,645 : x
  2. Step 2: Convert to fraction form
    438,426/657,645 = 657,645/x
  3. Step 3: Cross multiply
    438,426x = 657,645 × 657,645
  4. Step 4: Simplify right side
    438,426x = 432,496,946,025
  5. Step 5: Solve for x
    x = 432,496,946,025/438,426
  6. Step 6: Final answer
    x = 986,476.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.