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Finding the Third Proportional to 282,992 and 616,528

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Solution

The third proportional to 282,992 and 616,528 is: 1,343,171.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,992 : 616,528 = 616,528 : x
  2. Step 2: Convert to fraction form
    282,992/616,528 = 616,528/x
  3. Step 3: Cross multiply
    282,992x = 616,528 × 616,528
  4. Step 4: Simplify right side
    282,992x = 380,106,774,784
  5. Step 5: Solve for x
    x = 380,106,774,784/282,992
  6. Step 6: Final answer
    x = 1,343,171.45

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.