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Finding the Third Proportional to 377,154 and 824,292

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Solution

The third proportional to 377,154 and 824,292 is: 1,801,538.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,154 : 824,292 = 824,292 : x
  2. Step 2: Convert to fraction form
    377,154/824,292 = 824,292/x
  3. Step 3: Cross multiply
    377,154x = 824,292 × 824,292
  4. Step 4: Simplify right side
    377,154x = 679,457,301,264
  5. Step 5: Solve for x
    x = 679,457,301,264/377,154
  6. Step 6: Final answer
    x = 1,801,538.10

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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.