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Finding the Third Proportional to 377,547 and 571,811

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Solution

The third proportional to 377,547 and 571,811 is: 866,032.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,547 : 571,811 = 571,811 : x
  2. Step 2: Convert to fraction form
    377,547/571,811 = 571,811/x
  3. Step 3: Cross multiply
    377,547x = 571,811 × 571,811
  4. Step 4: Simplify right side
    377,547x = 326,967,819,721
  5. Step 5: Solve for x
    x = 326,967,819,721/377,547
  6. Step 6: Final answer
    x = 866,032.10

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.