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Finding the Third Proportional to 280,075.50 and 430,496.25

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Solution

The third proportional to 280,075.50 and 430,496.25 is: 661,703.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,075.50 : 430,496.25 = 430,496.25 : x
  2. Step 2: Convert to fraction form
    280,075.50/430,496.25 = 430,496.25/x
  3. Step 3: Cross multiply
    280,075.50x = 430,496.25 × 430,496.25
  4. Step 4: Simplify right side
    280,075.50x = 185,327,021,264.06
  5. Step 5: Solve for x
    x = 185,327,021,264.06/280,075.50
  6. Step 6: Final answer
    x = 661,703.80

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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.