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Finding the Third Proportional to 365,421 and 562,396

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Solution

The third proportional to 365,421 and 562,396 is: 865,547.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,421 : 562,396 = 562,396 : x
  2. Step 2: Convert to fraction form
    365,421/562,396 = 562,396/x
  3. Step 3: Cross multiply
    365,421x = 562,396 × 562,396
  4. Step 4: Simplify right side
    365,421x = 316,289,260,816
  5. Step 5: Solve for x
    x = 316,289,260,816/365,421
  6. Step 6: Final answer
    x = 865,547.58

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.