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Finding the Third Proportional to 364,641 and 576,929

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Solution

The third proportional to 364,641 and 576,929 is: 912,807.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,641 : 576,929 = 576,929 : x
  2. Step 2: Convert to fraction form
    364,641/576,929 = 576,929/x
  3. Step 3: Cross multiply
    364,641x = 576,929 × 576,929
  4. Step 4: Simplify right side
    364,641x = 332,847,071,041
  5. Step 5: Solve for x
    x = 332,847,071,041/364,641
  6. Step 6: Final answer
    x = 912,807.59

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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.