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Finding the Third Proportional to 623,349 and 1,346,152.50

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Solution

The third proportional to 623,349 and 1,346,152.50 is: 2,907,081.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    623,349 : 1,346,152.50 = 1,346,152.50 : x
  2. Step 2: Convert to fraction form
    623,349/1,346,152.50 = 1,346,152.50/x
  3. Step 3: Cross multiply
    623,349x = 1,346,152.50 × 1,346,152.50
  4. Step 4: Simplify right side
    623,349x = 1,812,126,553,256.25
  5. Step 5: Solve for x
    x = 1,812,126,553,256.25/623,349
  6. Step 6: Final answer
    x = 2,907,081.83

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.