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Finding the Third Proportional to 454,075.50 and 973,348

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Solution

The third proportional to 454,075.50 and 973,348 is: 2,086,451.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,075.50 : 973,348 = 973,348 : x
  2. Step 2: Convert to fraction form
    454,075.50/973,348 = 973,348/x
  3. Step 3: Cross multiply
    454,075.50x = 973,348 × 973,348
  4. Step 4: Simplify right side
    454,075.50x = 947,406,329,104
  5. Step 5: Solve for x
    x = 947,406,329,104/454,075.50
  6. Step 6: Final answer
    x = 2,086,451.11

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.