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Finding the Third Proportional to 242,964 and 510,498

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Solution

The third proportional to 242,964 and 510,498 is: 1,072,620.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,964 : 510,498 = 510,498 : x
  2. Step 2: Convert to fraction form
    242,964/510,498 = 510,498/x
  3. Step 3: Cross multiply
    242,964x = 510,498 × 510,498
  4. Step 4: Simplify right side
    242,964x = 260,608,208,004
  5. Step 5: Solve for x
    x = 260,608,208,004/242,964
  6. Step 6: Final answer
    x = 1,072,620.67

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.