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Finding the Third Proportional to 287,356 and 611,072

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Solution

The third proportional to 287,356 and 611,072 is: 1,299,464.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,356 : 611,072 = 611,072 : x
  2. Step 2: Convert to fraction form
    287,356/611,072 = 611,072/x
  3. Step 3: Cross multiply
    287,356x = 611,072 × 611,072
  4. Step 4: Simplify right side
    287,356x = 373,408,989,184
  5. Step 5: Solve for x
    x = 373,408,989,184/287,356
  6. Step 6: Final answer
    x = 1,299,464.74

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.