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Finding the Third Proportional to 530,216 and 803,046

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Solution

The third proportional to 530,216 and 803,046 is: 1,216,264.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,216 : 803,046 = 803,046 : x
  2. Step 2: Convert to fraction form
    530,216/803,046 = 803,046/x
  3. Step 3: Cross multiply
    530,216x = 803,046 × 803,046
  4. Step 4: Simplify right side
    530,216x = 644,882,878,116
  5. Step 5: Solve for x
    x = 644,882,878,116/530,216
  6. Step 6: Final answer
    x = 1,216,264.46

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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.