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Finding the Third Proportional to 524,023 and 788,660

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Solution

The third proportional to 524,023 and 788,660 is: 1,186,941.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,023 : 788,660 = 788,660 : x
  2. Step 2: Convert to fraction form
    524,023/788,660 = 788,660/x
  3. Step 3: Cross multiply
    524,023x = 788,660 × 788,660
  4. Step 4: Simplify right side
    524,023x = 621,984,595,600
  5. Step 5: Solve for x
    x = 621,984,595,600/524,023
  6. Step 6: Final answer
    x = 1,186,941.40

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.