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Finding the Third Proportional to 262,155 and 573,371

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Solution

The third proportional to 262,155 and 573,371 is: 1,254,045.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,155 : 573,371 = 573,371 : x
  2. Step 2: Convert to fraction form
    262,155/573,371 = 573,371/x
  3. Step 3: Cross multiply
    262,155x = 573,371 × 573,371
  4. Step 4: Simplify right side
    262,155x = 328,754,303,641
  5. Step 5: Solve for x
    x = 328,754,303,641/262,155
  6. Step 6: Final answer
    x = 1,254,045.52

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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.