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Finding the Third Proportional to 310,752 and 680,562

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Solution

The third proportional to 310,752 and 680,562 is: 1,490,463.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,752 : 680,562 = 680,562 : x
  2. Step 2: Convert to fraction form
    310,752/680,562 = 680,562/x
  3. Step 3: Cross multiply
    310,752x = 680,562 × 680,562
  4. Step 4: Simplify right side
    310,752x = 463,164,635,844
  5. Step 5: Solve for x
    x = 463,164,635,844/310,752
  6. Step 6: Final answer
    x = 1,490,463.89

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.