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Finding the Third Proportional to 478,998 and 798,297

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Solution

The third proportional to 478,998 and 798,297 is: 1,330,440.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,998 : 798,297 = 798,297 : x
  2. Step 2: Convert to fraction form
    478,998/798,297 = 798,297/x
  3. Step 3: Cross multiply
    478,998x = 798,297 × 798,297
  4. Step 4: Simplify right side
    478,998x = 637,278,100,209
  5. Step 5: Solve for x
    x = 637,278,100,209/478,998
  6. Step 6: Final answer
    x = 1,330,440.00

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.