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Finding the Third Proportional to 506,882 and 684,205

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Solution

The third proportional to 506,882 and 684,205 is: 923,561.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,882 : 684,205 = 684,205 : x
  2. Step 2: Convert to fraction form
    506,882/684,205 = 684,205/x
  3. Step 3: Cross multiply
    506,882x = 684,205 × 684,205
  4. Step 4: Simplify right side
    506,882x = 468,136,482,025
  5. Step 5: Solve for x
    x = 468,136,482,025/506,882
  6. Step 6: Final answer
    x = 923,561.07

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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.