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Finding the Third Proportional to 532,964 and 820,030

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Solution

The third proportional to 532,964 and 820,030 is: 1,261,715.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,964 : 820,030 = 820,030 : x
  2. Step 2: Convert to fraction form
    532,964/820,030 = 820,030/x
  3. Step 3: Cross multiply
    532,964x = 820,030 × 820,030
  4. Step 4: Simplify right side
    532,964x = 672,449,200,900
  5. Step 5: Solve for x
    x = 672,449,200,900/532,964
  6. Step 6: Final answer
    x = 1,261,715.99

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.