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Finding the Third Proportional to 492,048 and 803,460

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Solution

The third proportional to 492,048 and 803,460 is: 1,311,961.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,048 : 803,460 = 803,460 : x
  2. Step 2: Convert to fraction form
    492,048/803,460 = 803,460/x
  3. Step 3: Cross multiply
    492,048x = 803,460 × 803,460
  4. Step 4: Simplify right side
    492,048x = 645,547,971,600
  5. Step 5: Solve for x
    x = 645,547,971,600/492,048
  6. Step 6: Final answer
    x = 1,311,961.38

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.