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Finding the Third Proportional to 341,511 and 513,369

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Solution

The third proportional to 341,511 and 513,369 is: 771,710.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,511 : 513,369 = 513,369 : x
  2. Step 2: Convert to fraction form
    341,511/513,369 = 513,369/x
  3. Step 3: Cross multiply
    341,511x = 513,369 × 513,369
  4. Step 4: Simplify right side
    341,511x = 263,547,730,161
  5. Step 5: Solve for x
    x = 263,547,730,161/341,511
  6. Step 6: Final answer
    x = 771,710.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.