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Finding the Third Proportional to 280,480 and 617,053

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Solution

The third proportional to 280,480 and 617,053 is: 1,357,510.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,480 : 617,053 = 617,053 : x
  2. Step 2: Convert to fraction form
    280,480/617,053 = 617,053/x
  3. Step 3: Cross multiply
    280,480x = 617,053 × 617,053
  4. Step 4: Simplify right side
    280,480x = 380,754,404,809
  5. Step 5: Solve for x
    x = 380,754,404,809/280,480
  6. Step 6: Final answer
    x = 1,357,510.00

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.