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Finding the Third Proportional to 510,322 and 730,483

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Solution

The third proportional to 510,322 and 730,483 is: 1,045,624.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,322 : 730,483 = 730,483 : x
  2. Step 2: Convert to fraction form
    510,322/730,483 = 730,483/x
  3. Step 3: Cross multiply
    510,322x = 730,483 × 730,483
  4. Step 4: Simplify right side
    510,322x = 533,605,413,289
  5. Step 5: Solve for x
    x = 533,605,413,289/510,322
  6. Step 6: Final answer
    x = 1,045,624.95

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.