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Finding the Third Proportional to 262,076 and 573,222

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Solution

The third proportional to 262,076 and 573,222 is: 1,253,771.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,076 : 573,222 = 573,222 : x
  2. Step 2: Convert to fraction form
    262,076/573,222 = 573,222/x
  3. Step 3: Cross multiply
    262,076x = 573,222 × 573,222
  4. Step 4: Simplify right side
    262,076x = 328,583,461,284
  5. Step 5: Solve for x
    x = 328,583,461,284/262,076
  6. Step 6: Final answer
    x = 1,253,771.66

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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.