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Finding the Third Proportional to 210,064.50 and 460,946.25

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Solution

The third proportional to 210,064.50 and 460,946.25 is: 1,011,458.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,064.50 : 460,946.25 = 460,946.25 : x
  2. Step 2: Convert to fraction form
    210,064.50/460,946.25 = 460,946.25/x
  3. Step 3: Cross multiply
    210,064.50x = 460,946.25 × 460,946.25
  4. Step 4: Simplify right side
    210,064.50x = 212,471,445,389.06
  5. Step 5: Solve for x
    x = 212,471,445,389.06/210,064.50
  6. Step 6: Final answer
    x = 1,011,458.13

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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.