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Finding the Third Proportional to 282,969 and 606,429

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Solution

The third proportional to 282,969 and 606,429 is: 1,299,634.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,969 : 606,429 = 606,429 : x
  2. Step 2: Convert to fraction form
    282,969/606,429 = 606,429/x
  3. Step 3: Cross multiply
    282,969x = 606,429 × 606,429
  4. Step 4: Simplify right side
    282,969x = 367,756,132,041
  5. Step 5: Solve for x
    x = 367,756,132,041/282,969
  6. Step 6: Final answer
    x = 1,299,634.00

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.