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Finding the Third Proportional to 296,346 and 459,561

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Solution

The third proportional to 296,346 and 459,561 is: 712,668.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,346 : 459,561 = 459,561 : x
  2. Step 2: Convert to fraction form
    296,346/459,561 = 459,561/x
  3. Step 3: Cross multiply
    296,346x = 459,561 × 459,561
  4. Step 4: Simplify right side
    296,346x = 211,196,312,721
  5. Step 5: Solve for x
    x = 211,196,312,721/296,346
  6. Step 6: Final answer
    x = 712,668.01

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.