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Finding the Third Proportional to 355,482 and 565,335

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Solution

The third proportional to 355,482 and 565,335 is: 899,071.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,482 : 565,335 = 565,335 : x
  2. Step 2: Convert to fraction form
    355,482/565,335 = 565,335/x
  3. Step 3: Cross multiply
    355,482x = 565,335 × 565,335
  4. Step 4: Simplify right side
    355,482x = 319,603,662,225
  5. Step 5: Solve for x
    x = 319,603,662,225/355,482
  6. Step 6: Final answer
    x = 899,071.30

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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.