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Finding the Third Proportional to 432,217 and 634,303

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Solution

The third proportional to 432,217 and 634,303 is: 930,875.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,217 : 634,303 = 634,303 : x
  2. Step 2: Convert to fraction form
    432,217/634,303 = 634,303/x
  3. Step 3: Cross multiply
    432,217x = 634,303 × 634,303
  4. Step 4: Simplify right side
    432,217x = 402,340,295,809
  5. Step 5: Solve for x
    x = 402,340,295,809/432,217
  6. Step 6: Final answer
    x = 930,875.68

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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.