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Finding the Third Proportional to 264,114 and 358,587

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Solution

The third proportional to 264,114 and 358,587 is: 486,852.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,114 : 358,587 = 358,587 : x
  2. Step 2: Convert to fraction form
    264,114/358,587 = 358,587/x
  3. Step 3: Cross multiply
    264,114x = 358,587 × 358,587
  4. Step 4: Simplify right side
    264,114x = 128,584,636,569
  5. Step 5: Solve for x
    x = 128,584,636,569/264,114
  6. Step 6: Final answer
    x = 486,852.79

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.