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Finding the Third Proportional to 286,724 and 455,511

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Solution

The third proportional to 286,724 and 455,511 is: 723,658.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,724 : 455,511 = 455,511 : x
  2. Step 2: Convert to fraction form
    286,724/455,511 = 455,511/x
  3. Step 3: Cross multiply
    286,724x = 455,511 × 455,511
  4. Step 4: Simplify right side
    286,724x = 207,490,271,121
  5. Step 5: Solve for x
    x = 207,490,271,121/286,724
  6. Step 6: Final answer
    x = 723,658.54

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.