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Finding the Third Proportional to 291,630 and 456,492

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Solution

The third proportional to 291,630 and 456,492 is: 714,552.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,630 : 456,492 = 456,492 : x
  2. Step 2: Convert to fraction form
    291,630/456,492 = 456,492/x
  3. Step 3: Cross multiply
    291,630x = 456,492 × 456,492
  4. Step 4: Simplify right side
    291,630x = 208,384,946,064
  5. Step 5: Solve for x
    x = 208,384,946,064/291,630
  6. Step 6: Final answer
    x = 714,552.50

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.