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Finding the Third Proportional to 333,076.50 and 507,903.75

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Solution

The third proportional to 333,076.50 and 507,903.75 is: 774,495.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,076.50 : 507,903.75 = 507,903.75 : x
  2. Step 2: Convert to fraction form
    333,076.50/507,903.75 = 507,903.75/x
  3. Step 3: Cross multiply
    333,076.50x = 507,903.75 × 507,903.75
  4. Step 4: Simplify right side
    333,076.50x = 257,966,219,264.06
  5. Step 5: Solve for x
    x = 257,966,219,264.06/333,076.50
  6. Step 6: Final answer
    x = 774,495.41

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.