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Finding the Third Proportional to 292,114 and 598,044

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Solution

The third proportional to 292,114 and 598,044 is: 1,224,373.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,114 : 598,044 = 598,044 : x
  2. Step 2: Convert to fraction form
    292,114/598,044 = 598,044/x
  3. Step 3: Cross multiply
    292,114x = 598,044 × 598,044
  4. Step 4: Simplify right side
    292,114x = 357,656,625,936
  5. Step 5: Solve for x
    x = 357,656,625,936/292,114
  6. Step 6: Final answer
    x = 1,224,373.45

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.