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Finding the Third Proportional to 634,425 and 926,319

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Solution

The third proportional to 634,425 and 926,319 is: 1,352,511.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    634,425 : 926,319 = 926,319 : x
  2. Step 2: Convert to fraction form
    634,425/926,319 = 926,319/x
  3. Step 3: Cross multiply
    634,425x = 926,319 × 926,319
  4. Step 4: Simplify right side
    634,425x = 858,066,889,761
  5. Step 5: Solve for x
    x = 858,066,889,761/634,425
  6. Step 6: Final answer
    x = 1,352,511.16

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.