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Finding the Third Proportional to 594,964 and 867,523

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Solution

The third proportional to 594,964 and 867,523 is: 1,264,944.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,964 : 867,523 = 867,523 : x
  2. Step 2: Convert to fraction form
    594,964/867,523 = 867,523/x
  3. Step 3: Cross multiply
    594,964x = 867,523 × 867,523
  4. Step 4: Simplify right side
    594,964x = 752,596,155,529
  5. Step 5: Solve for x
    x = 752,596,155,529/594,964
  6. Step 6: Final answer
    x = 1,264,944.02

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.