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Finding the Third Proportional to 362,145 and 779,514

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Solution

The third proportional to 362,145 and 779,514 is: 1,677,897.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,145 : 779,514 = 779,514 : x
  2. Step 2: Convert to fraction form
    362,145/779,514 = 779,514/x
  3. Step 3: Cross multiply
    362,145x = 779,514 × 779,514
  4. Step 4: Simplify right side
    362,145x = 607,642,076,196
  5. Step 5: Solve for x
    x = 607,642,076,196/362,145
  6. Step 6: Final answer
    x = 1,677,897.19

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.