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Finding the Third Proportional to 530,742 and 780,453

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Solution

The third proportional to 530,742 and 780,453 is: 1,147,651.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,742 : 780,453 = 780,453 : x
  2. Step 2: Convert to fraction form
    530,742/780,453 = 780,453/x
  3. Step 3: Cross multiply
    530,742x = 780,453 × 780,453
  4. Step 4: Simplify right side
    530,742x = 609,106,885,209
  5. Step 5: Solve for x
    x = 609,106,885,209/530,742
  6. Step 6: Final answer
    x = 1,147,651.56

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.