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Finding the Third Proportional to 375,348 and 563,516

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Solution

The third proportional to 375,348 and 563,516 is: 846,015.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,348 : 563,516 = 563,516 : x
  2. Step 2: Convert to fraction form
    375,348/563,516 = 563,516/x
  3. Step 3: Cross multiply
    375,348x = 563,516 × 563,516
  4. Step 4: Simplify right side
    375,348x = 317,550,282,256
  5. Step 5: Solve for x
    x = 317,550,282,256/375,348
  6. Step 6: Final answer
    x = 846,015.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.