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Finding the Third Proportional to 355,492 and 565,352

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Solution

The third proportional to 355,492 and 565,352 is: 899,100.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,492 : 565,352 = 565,352 : x
  2. Step 2: Convert to fraction form
    355,492/565,352 = 565,352/x
  3. Step 3: Cross multiply
    355,492x = 565,352 × 565,352
  4. Step 4: Simplify right side
    355,492x = 319,622,883,904
  5. Step 5: Solve for x
    x = 319,622,883,904/355,492
  6. Step 6: Final answer
    x = 899,100.08

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.