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Finding the Third Proportional to 387,666 and 822,298.50

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Solution

The third proportional to 387,666 and 822,298.50 is: 1,744,220.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,666 : 822,298.50 = 822,298.50 : x
  2. Step 2: Convert to fraction form
    387,666/822,298.50 = 822,298.50/x
  3. Step 3: Cross multiply
    387,666x = 822,298.50 × 822,298.50
  4. Step 4: Simplify right side
    387,666x = 676,174,823,102.25
  5. Step 5: Solve for x
    x = 676,174,823,102.25/387,666
  6. Step 6: Final answer
    x = 1,744,220.08

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.