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Finding the Third Proportional to 365,454 and 562,444

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Solution

The third proportional to 365,454 and 562,444 is: 865,617.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,454 : 562,444 = 562,444 : x
  2. Step 2: Convert to fraction form
    365,454/562,444 = 562,444/x
  3. Step 3: Cross multiply
    365,454x = 562,444 × 562,444
  4. Step 4: Simplify right side
    365,454x = 316,343,253,136
  5. Step 5: Solve for x
    x = 316,343,253,136/365,454
  6. Step 6: Final answer
    x = 865,617.16

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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.