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Finding the Third Proportional to 210,038.06 and 460,900.13

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Solution

The third proportional to 210,038.06 and 460,900.13 is: 1,011,383.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,038.06 : 460,900.13 = 460,900.13 : x
  2. Step 2: Convert to fraction form
    210,038.06/460,900.13 = 460,900.13/x
  3. Step 3: Cross multiply
    210,038.06x = 460,900.13 × 460,900.13
  4. Step 4: Simplify right side
    210,038.06x = 212,428,925,225.02
  5. Step 5: Solve for x
    x = 212,428,925,225.02/210,038.06
  6. Step 6: Final answer
    x = 1,011,383.00

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1.5x scale

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.