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Finding the Third Proportional to 530,768 and 780,492

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Solution

The third proportional to 530,768 and 780,492 is: 1,147,710.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,768 : 780,492 = 780,492 : x
  2. Step 2: Convert to fraction form
    530,768/780,492 = 780,492/x
  3. Step 3: Cross multiply
    530,768x = 780,492 × 780,492
  4. Step 4: Simplify right side
    530,768x = 609,167,762,064
  5. Step 5: Solve for x
    x = 609,167,762,064/530,768
  6. Step 6: Final answer
    x = 1,147,710.04

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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.