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Finding the Third Proportional to 387,060 and 569,202

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Solution

The third proportional to 387,060 and 569,202 is: 837,056.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,060 : 569,202 = 569,202 : x
  2. Step 2: Convert to fraction form
    387,060/569,202 = 569,202/x
  3. Step 3: Cross multiply
    387,060x = 569,202 × 569,202
  4. Step 4: Simplify right side
    387,060x = 323,990,916,804
  5. Step 5: Solve for x
    x = 323,990,916,804/387,060
  6. Step 6: Final answer
    x = 837,056.06

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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.