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Finding the Third Proportional to 358,588 and 527,514

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Solution

The third proportional to 358,588 and 527,514 is: 776,018.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,588 : 527,514 = 527,514 : x
  2. Step 2: Convert to fraction form
    358,588/527,514 = 527,514/x
  3. Step 3: Cross multiply
    358,588x = 527,514 × 527,514
  4. Step 4: Simplify right side
    358,588x = 278,271,020,196
  5. Step 5: Solve for x
    x = 278,271,020,196/358,588
  6. Step 6: Final answer
    x = 776,018.77

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.