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Finding the Third Proportional to 582,320 and 1,273,264

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Solution

The third proportional to 582,320 and 1,273,264 is: 2,784,038.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,320 : 1,273,264 = 1,273,264 : x
  2. Step 2: Convert to fraction form
    582,320/1,273,264 = 1,273,264/x
  3. Step 3: Cross multiply
    582,320x = 1,273,264 × 1,273,264
  4. Step 4: Simplify right side
    582,320x = 1,621,201,213,696
  5. Step 5: Solve for x
    x = 1,621,201,213,696/582,320
  6. Step 6: Final answer
    x = 2,784,038.35

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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.