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Finding the Third Proportional to 277,354.13 and 598,903.88

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Solution

The third proportional to 277,354.13 and 598,903.88 is: 1,293,241.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,354.13 : 598,903.88 = 598,903.88 : x
  2. Step 2: Convert to fraction form
    277,354.13/598,903.88 = 598,903.88/x
  3. Step 3: Cross multiply
    277,354.13x = 598,903.88 × 598,903.88
  4. Step 4: Simplify right side
    277,354.13x = 358,685,851,490.02
  5. Step 5: Solve for x
    x = 358,685,851,490.02/277,354.13
  6. Step 6: Final answer
    x = 1,293,241.45

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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.