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Finding the Third Proportional to 530,218 and 803,050

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Solution

The third proportional to 530,218 and 803,050 is: 1,216,271.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,218 : 803,050 = 803,050 : x
  2. Step 2: Convert to fraction form
    530,218/803,050 = 803,050/x
  3. Step 3: Cross multiply
    530,218x = 803,050 × 803,050
  4. Step 4: Simplify right side
    530,218x = 644,889,302,500
  5. Step 5: Solve for x
    x = 644,889,302,500/530,218
  6. Step 6: Final answer
    x = 1,216,271.99

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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.