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Finding the Third Proportional to 274,522 and 592,784

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Solution

The third proportional to 274,522 and 592,784 is: 1,280,017.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,522 : 592,784 = 592,784 : x
  2. Step 2: Convert to fraction form
    274,522/592,784 = 592,784/x
  3. Step 3: Cross multiply
    274,522x = 592,784 × 592,784
  4. Step 4: Simplify right side
    274,522x = 351,392,870,656
  5. Step 5: Solve for x
    x = 351,392,870,656/274,522
  6. Step 6: Final answer
    x = 1,280,017.16

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.