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Finding the Third Proportional to 357,072 and 473,886

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Solution

The third proportional to 357,072 and 473,886 is: 628,915.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,072 : 473,886 = 473,886 : x
  2. Step 2: Convert to fraction form
    357,072/473,886 = 473,886/x
  3. Step 3: Cross multiply
    357,072x = 473,886 × 473,886
  4. Step 4: Simplify right side
    357,072x = 224,567,940,996
  5. Step 5: Solve for x
    x = 224,567,940,996/357,072
  6. Step 6: Final answer
    x = 628,915.01

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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.