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Finding the Third Proportional to 524,988 and 814,428

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Solution

The third proportional to 524,988 and 814,428 is: 1,263,444.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,988 : 814,428 = 814,428 : x
  2. Step 2: Convert to fraction form
    524,988/814,428 = 814,428/x
  3. Step 3: Cross multiply
    524,988x = 814,428 × 814,428
  4. Step 4: Simplify right side
    524,988x = 663,292,967,184
  5. Step 5: Solve for x
    x = 663,292,967,184/524,988
  6. Step 6: Final answer
    x = 1,263,444.05

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.