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Finding the Third Proportional to 497,576 and 749,947.50

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Solution

The third proportional to 497,576 and 749,947.50 is: 1,130,322.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,576 : 749,947.50 = 749,947.50 : x
  2. Step 2: Convert to fraction form
    497,576/749,947.50 = 749,947.50/x
  3. Step 3: Cross multiply
    497,576x = 749,947.50 × 749,947.50
  4. Step 4: Simplify right side
    497,576x = 562,421,252,756.25
  5. Step 5: Solve for x
    x = 562,421,252,756.25/497,576
  6. Step 6: Final answer
    x = 1,130,322.31

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.