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Finding the Third Proportional to 294,575 and 450,423

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Solution

The third proportional to 294,575 and 450,423 is: 688,724.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,575 : 450,423 = 450,423 : x
  2. Step 2: Convert to fraction form
    294,575/450,423 = 450,423/x
  3. Step 3: Cross multiply
    294,575x = 450,423 × 450,423
  4. Step 4: Simplify right side
    294,575x = 202,880,878,929
  5. Step 5: Solve for x
    x = 202,880,878,929/294,575
  6. Step 6: Final answer
    x = 688,724.02

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.