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Finding the Third Proportional to 357,066 and 473,877

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Solution

The third proportional to 357,066 and 473,877 is: 628,901.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,066 : 473,877 = 473,877 : x
  2. Step 2: Convert to fraction form
    357,066/473,877 = 473,877/x
  3. Step 3: Cross multiply
    357,066x = 473,877 × 473,877
  4. Step 4: Simplify right side
    357,066x = 224,559,411,129
  5. Step 5: Solve for x
    x = 224,559,411,129/357,066
  6. Step 6: Final answer
    x = 628,901.69

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.