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Finding the Third Proportional to 530,352 and 803,232

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Solution

The third proportional to 530,352 and 803,232 is: 1,216,515.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,352 : 803,232 = 803,232 : x
  2. Step 2: Convert to fraction form
    530,352/803,232 = 803,232/x
  3. Step 3: Cross multiply
    530,352x = 803,232 × 803,232
  4. Step 4: Simplify right side
    530,352x = 645,181,645,824
  5. Step 5: Solve for x
    x = 645,181,645,824/530,352
  6. Step 6: Final answer
    x = 1,216,515.91

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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.