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Finding the Third Proportional to 282,528 and 598,752

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Solution

The third proportional to 282,528 and 598,752 is: 1,268,914.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,528 : 598,752 = 598,752 : x
  2. Step 2: Convert to fraction form
    282,528/598,752 = 598,752/x
  3. Step 3: Cross multiply
    282,528x = 598,752 × 598,752
  4. Step 4: Simplify right side
    282,528x = 358,503,957,504
  5. Step 5: Solve for x
    x = 358,503,957,504/282,528
  6. Step 6: Final answer
    x = 1,268,914.79

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.