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Finding the Third Proportional to 369,998 and 797,590

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Solution

The third proportional to 369,998 and 797,590 is: 1,719,333.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,998 : 797,590 = 797,590 : x
  2. Step 2: Convert to fraction form
    369,998/797,590 = 797,590/x
  3. Step 3: Cross multiply
    369,998x = 797,590 × 797,590
  4. Step 4: Simplify right side
    369,998x = 636,149,808,100
  5. Step 5: Solve for x
    x = 636,149,808,100/369,998
  6. Step 6: Final answer
    x = 1,719,333.10

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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.