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Finding the Third Proportional to 427,968 and 662,316

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Solution

The third proportional to 427,968 and 662,316 is: 1,024,988.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,968 : 662,316 = 662,316 : x
  2. Step 2: Convert to fraction form
    427,968/662,316 = 662,316/x
  3. Step 3: Cross multiply
    427,968x = 662,316 × 662,316
  4. Step 4: Simplify right side
    427,968x = 438,662,483,856
  5. Step 5: Solve for x
    x = 438,662,483,856/427,968
  6. Step 6: Final answer
    x = 1,024,988.98

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.