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Finding the Third Proportional to 271,509 and 596,547

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Solution

The third proportional to 271,509 and 596,547 is: 1,310,705.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,509 : 596,547 = 596,547 : x
  2. Step 2: Convert to fraction form
    271,509/596,547 = 596,547/x
  3. Step 3: Cross multiply
    271,509x = 596,547 × 596,547
  4. Step 4: Simplify right side
    271,509x = 355,868,323,209
  5. Step 5: Solve for x
    x = 355,868,323,209/271,509
  6. Step 6: Final answer
    x = 1,310,705.44

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.