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Finding the Third Proportional to 530.19 and 1,074.62

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Solution

The third proportional to 530.19 and 1,074.62 is: 2,178.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.19 : 1,074.62 = 1,074.62 : x
  2. Step 2: Convert to fraction form
    530.19/1,074.62 = 1,074.62/x
  3. Step 3: Cross multiply
    530.19x = 1,074.62 × 1,074.62
  4. Step 4: Simplify right side
    530.19x = 1,154,810.50
  5. Step 5: Solve for x
    x = 1,154,810.50/530.19
  6. Step 6: Final answer
    x = 2,178.10

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.