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Finding the Third Proportional to 370,416 and 553,184

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Solution

The third proportional to 370,416 and 553,184 is: 826,132.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,416 : 553,184 = 553,184 : x
  2. Step 2: Convert to fraction form
    370,416/553,184 = 553,184/x
  3. Step 3: Cross multiply
    370,416x = 553,184 × 553,184
  4. Step 4: Simplify right side
    370,416x = 306,012,537,856
  5. Step 5: Solve for x
    x = 306,012,537,856/370,416
  6. Step 6: Final answer
    x = 826,132.07

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.