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Finding the Third Proportional to 576,973.13 and 778,113.84

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Solution

The third proportional to 576,973.13 and 778,113.84 is: 1,049,374.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,973.13 : 778,113.84 = 778,113.84 : x
  2. Step 2: Convert to fraction form
    576,973.13/778,113.84 = 778,113.84/x
  3. Step 3: Cross multiply
    576,973.13x = 778,113.84 × 778,113.84
  4. Step 4: Simplify right side
    576,973.13x = 605,461,153,835.40
  5. Step 5: Solve for x
    x = 605,461,153,835.40/576,973.13
  6. Step 6: Final answer
    x = 1,049,374.97

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.