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Finding the Third Proportional to 598,294 and 888,046

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Solution

The third proportional to 598,294 and 888,046 is: 1,318,124.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,294 : 888,046 = 888,046 : x
  2. Step 2: Convert to fraction form
    598,294/888,046 = 888,046/x
  3. Step 3: Cross multiply
    598,294x = 888,046 × 888,046
  4. Step 4: Simplify right side
    598,294x = 788,625,698,116
  5. Step 5: Solve for x
    x = 788,625,698,116/598,294
  6. Step 6: Final answer
    x = 1,318,124.03

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.