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Finding the Third Proportional to 317,034 and 692,865

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Solution

The third proportional to 317,034 and 692,865 is: 1,514,228.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,034 : 692,865 = 692,865 : x
  2. Step 2: Convert to fraction form
    317,034/692,865 = 692,865/x
  3. Step 3: Cross multiply
    317,034x = 692,865 × 692,865
  4. Step 4: Simplify right side
    317,034x = 480,061,908,225
  5. Step 5: Solve for x
    x = 480,061,908,225/317,034
  6. Step 6: Final answer
    x = 1,514,228.47

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.