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Finding the Third Proportional to 211,359 and 468,291

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Solution

The third proportional to 211,359 and 468,291 is: 1,037,554.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,359 : 468,291 = 468,291 : x
  2. Step 2: Convert to fraction form
    211,359/468,291 = 468,291/x
  3. Step 3: Cross multiply
    211,359x = 468,291 × 468,291
  4. Step 4: Simplify right side
    211,359x = 219,296,460,681
  5. Step 5: Solve for x
    x = 219,296,460,681/211,359
  6. Step 6: Final answer
    x = 1,037,554.40

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.