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Finding the Third Proportional to 459,280.13 and 714,075.75

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Solution

The third proportional to 459,280.13 and 714,075.75 is: 1,110,224.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,280.13 : 714,075.75 = 714,075.75 : x
  2. Step 2: Convert to fraction form
    459,280.13/714,075.75 = 714,075.75/x
  3. Step 3: Cross multiply
    459,280.13x = 714,075.75 × 714,075.75
  4. Step 4: Simplify right side
    459,280.13x = 509,904,176,738.06
  5. Step 5: Solve for x
    x = 509,904,176,738.06/459,280.13
  6. Step 6: Final answer
    x = 1,110,224.78

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.