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Finding the Third Proportional to 296,596 and 459,640

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Solution

The third proportional to 296,596 and 459,640 is: 712,312.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,596 : 459,640 = 459,640 : x
  2. Step 2: Convert to fraction form
    296,596/459,640 = 459,640/x
  3. Step 3: Cross multiply
    296,596x = 459,640 × 459,640
  4. Step 4: Simplify right side
    296,596x = 211,268,929,600
  5. Step 5: Solve for x
    x = 211,268,929,600/296,596
  6. Step 6: Final answer
    x = 712,312.13

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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.