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Finding the Third Proportional to 306,495 and 478,372.50

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Solution

The third proportional to 306,495 and 478,372.50 is: 746,636.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,495 : 478,372.50 = 478,372.50 : x
  2. Step 2: Convert to fraction form
    306,495/478,372.50 = 478,372.50/x
  3. Step 3: Cross multiply
    306,495x = 478,372.50 × 478,372.50
  4. Step 4: Simplify right side
    306,495x = 228,840,248,756.25
  5. Step 5: Solve for x
    x = 228,840,248,756.25/306,495
  6. Step 6: Final answer
    x = 746,636.16

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.