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Finding the Third Proportional to 289,210.50 and 592,515

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Solution

The third proportional to 289,210.50 and 592,515 is: 1,213,904.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,210.50 : 592,515 = 592,515 : x
  2. Step 2: Convert to fraction form
    289,210.50/592,515 = 592,515/x
  3. Step 3: Cross multiply
    289,210.50x = 592,515 × 592,515
  4. Step 4: Simplify right side
    289,210.50x = 351,074,025,225
  5. Step 5: Solve for x
    x = 351,074,025,225/289,210.50
  6. Step 6: Final answer
    x = 1,213,904.84

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.