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Finding the Third Proportional to 455,563.50 and 910,587

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Solution

The third proportional to 455,563.50 and 910,587 is: 1,820,094.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,563.50 : 910,587 = 910,587 : x
  2. Step 2: Convert to fraction form
    455,563.50/910,587 = 910,587/x
  3. Step 3: Cross multiply
    455,563.50x = 910,587 × 910,587
  4. Step 4: Simplify right side
    455,563.50x = 829,168,684,569
  5. Step 5: Solve for x
    x = 829,168,684,569/455,563.50
  6. Step 6: Final answer
    x = 1,820,094.64

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These problems maintain the same ratio (2.00) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.