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Finding the Third Proportional to 233,666 and 510,574

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Solution

The third proportional to 233,666 and 510,574 is: 1,115,634.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,666 : 510,574 = 510,574 : x
  2. Step 2: Convert to fraction form
    233,666/510,574 = 510,574/x
  3. Step 3: Cross multiply
    233,666x = 510,574 × 510,574
  4. Step 4: Simplify right side
    233,666x = 260,685,809,476
  5. Step 5: Solve for x
    x = 260,685,809,476/233,666
  6. Step 6: Final answer
    x = 1,115,634.32

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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.