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Finding the Third Proportional to 350,988 and 758,018

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Solution

The third proportional to 350,988 and 758,018 is: 1,637,068.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,988 : 758,018 = 758,018 : x
  2. Step 2: Convert to fraction form
    350,988/758,018 = 758,018/x
  3. Step 3: Cross multiply
    350,988x = 758,018 × 758,018
  4. Step 4: Simplify right side
    350,988x = 574,591,288,324
  5. Step 5: Solve for x
    x = 574,591,288,324/350,988
  6. Step 6: Final answer
    x = 1,637,068.19

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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.