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Finding the Third Proportional to 326,376 and 716,985

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Solution

The third proportional to 326,376 and 716,985 is: 1,575,077.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,376 : 716,985 = 716,985 : x
  2. Step 2: Convert to fraction form
    326,376/716,985 = 716,985/x
  3. Step 3: Cross multiply
    326,376x = 716,985 × 716,985
  4. Step 4: Simplify right side
    326,376x = 514,067,490,225
  5. Step 5: Solve for x
    x = 514,067,490,225/326,376
  6. Step 6: Final answer
    x = 1,575,077.49

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.