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Finding the Third Proportional to 296,136 and 458,046

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Solution

The third proportional to 296,136 and 458,046 is: 708,479.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,136 : 458,046 = 458,046 : x
  2. Step 2: Convert to fraction form
    296,136/458,046 = 458,046/x
  3. Step 3: Cross multiply
    296,136x = 458,046 × 458,046
  4. Step 4: Simplify right side
    296,136x = 209,806,138,116
  5. Step 5: Solve for x
    x = 209,806,138,116/296,136
  6. Step 6: Final answer
    x = 708,479.00

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.