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Finding the Third Proportional to 362,784 and 787,708

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Solution

The third proportional to 362,784 and 787,708 is: 1,710,339.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,784 : 787,708 = 787,708 : x
  2. Step 2: Convert to fraction form
    362,784/787,708 = 787,708/x
  3. Step 3: Cross multiply
    362,784x = 787,708 × 787,708
  4. Step 4: Simplify right side
    362,784x = 620,483,893,264
  5. Step 5: Solve for x
    x = 620,483,893,264/362,784
  6. Step 6: Final answer
    x = 1,710,339.74

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.