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Finding the Third Proportional to 385,112.88 and 598,670.63

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Solution

The third proportional to 385,112.88 and 598,670.63 is: 930,653.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,112.88 : 598,670.63 = 598,670.63 : x
  2. Step 2: Convert to fraction form
    385,112.88/598,670.63 = 598,670.63/x
  3. Step 3: Cross multiply
    385,112.88x = 598,670.63 × 598,670.63
  4. Step 4: Simplify right side
    385,112.88x = 358,406,517,237.89
  5. Step 5: Solve for x
    x = 358,406,517,237.89/385,112.88
  6. Step 6: Final answer
    x = 930,653.17

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.