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Finding the Third Proportional to 534,832 and 846,528

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Solution

The third proportional to 534,832 and 846,528 is: 1,339,878.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,832 : 846,528 = 846,528 : x
  2. Step 2: Convert to fraction form
    534,832/846,528 = 846,528/x
  3. Step 3: Cross multiply
    534,832x = 846,528 × 846,528
  4. Step 4: Simplify right side
    534,832x = 716,609,654,784
  5. Step 5: Solve for x
    x = 716,609,654,784/534,832
  6. Step 6: Final answer
    x = 1,339,878.05

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.