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Finding the Third Proportional to 482,126.50 and 713,348

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Solution

The third proportional to 482,126.50 and 713,348 is: 1,055,460.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,126.50 : 713,348 = 713,348 : x
  2. Step 2: Convert to fraction form
    482,126.50/713,348 = 713,348/x
  3. Step 3: Cross multiply
    482,126.50x = 713,348 × 713,348
  4. Step 4: Simplify right side
    482,126.50x = 508,865,369,104
  5. Step 5: Solve for x
    x = 508,865,369,104/482,126.50
  6. Step 6: Final answer
    x = 1,055,460.28

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.