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Finding the Third Proportional to 531,931.50 and 817,580.25

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Solution

The third proportional to 531,931.50 and 817,580.25 is: 1,256,623.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,931.50 : 817,580.25 = 817,580.25 : x
  2. Step 2: Convert to fraction form
    531,931.50/817,580.25 = 817,580.25/x
  3. Step 3: Cross multiply
    531,931.50x = 817,580.25 × 817,580.25
  4. Step 4: Simplify right side
    531,931.50x = 668,437,465,190.06
  5. Step 5: Solve for x
    x = 668,437,465,190.06/531,931.50
  6. Step 6: Final answer
    x = 1,256,623.20

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.