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Finding the Third Proportional to 387,056 and 569,196

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Solution

The third proportional to 387,056 and 569,196 is: 837,047.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,056 : 569,196 = 569,196 : x
  2. Step 2: Convert to fraction form
    387,056/569,196 = 569,196/x
  3. Step 3: Cross multiply
    387,056x = 569,196 × 569,196
  4. Step 4: Simplify right side
    387,056x = 323,984,086,416
  5. Step 5: Solve for x
    x = 323,984,086,416/387,056
  6. Step 6: Final answer
    x = 837,047.06

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.