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Finding the Third Proportional to 210,445.50 and 460,320

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Solution

The third proportional to 210,445.50 and 460,320 is: 1,006,885.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,445.50 : 460,320 = 460,320 : x
  2. Step 2: Convert to fraction form
    210,445.50/460,320 = 460,320/x
  3. Step 3: Cross multiply
    210,445.50x = 460,320 × 460,320
  4. Step 4: Simplify right side
    210,445.50x = 211,894,502,400
  5. Step 5: Solve for x
    x = 211,894,502,400/210,445.50
  6. Step 6: Final answer
    x = 1,006,885.40

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.