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Finding the Third Proportional to 377,196 and 808,323

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Solution

The third proportional to 377,196 and 808,323 is: 1,732,218.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,196 : 808,323 = 808,323 : x
  2. Step 2: Convert to fraction form
    377,196/808,323 = 808,323/x
  3. Step 3: Cross multiply
    377,196x = 808,323 × 808,323
  4. Step 4: Simplify right side
    377,196x = 653,386,072,329
  5. Step 5: Solve for x
    x = 653,386,072,329/377,196
  6. Step 6: Final answer
    x = 1,732,218.99

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.