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Finding the Third Proportional to 296,492 and 459,786

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Solution

The third proportional to 296,492 and 459,786 is: 713,014.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,492 : 459,786 = 459,786 : x
  2. Step 2: Convert to fraction form
    296,492/459,786 = 459,786/x
  3. Step 3: Cross multiply
    296,492x = 459,786 × 459,786
  4. Step 4: Simplify right side
    296,492x = 211,403,165,796
  5. Step 5: Solve for x
    x = 211,403,165,796/296,492
  6. Step 6: Final answer
    x = 713,014.74

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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.