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Finding the Third Proportional to 624,358 and 934,033

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Solution

The third proportional to 624,358 and 934,033 is: 1,397,303.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    624,358 : 934,033 = 934,033 : x
  2. Step 2: Convert to fraction form
    624,358/934,033 = 934,033/x
  3. Step 3: Cross multiply
    624,358x = 934,033 × 934,033
  4. Step 4: Simplify right side
    624,358x = 872,417,645,089
  5. Step 5: Solve for x
    x = 872,417,645,089/624,358
  6. Step 6: Final answer
    x = 1,397,303.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.