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Finding the Third Proportional to 509,397 and 746,046

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Solution

The third proportional to 509,397 and 746,046 is: 1,092,634.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,397 : 746,046 = 746,046 : x
  2. Step 2: Convert to fraction form
    509,397/746,046 = 746,046/x
  3. Step 3: Cross multiply
    509,397x = 746,046 × 746,046
  4. Step 4: Simplify right side
    509,397x = 556,584,634,116
  5. Step 5: Solve for x
    x = 556,584,634,116/509,397
  6. Step 6: Final answer
    x = 1,092,634.30

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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.