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Finding the Third Proportional to 214,088.06 and 470,547.56

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Solution

The third proportional to 214,088.06 and 470,547.56 is: 1,034,223.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,088.06 : 470,547.56 = 470,547.56 : x
  2. Step 2: Convert to fraction form
    214,088.06/470,547.56 = 470,547.56/x
  3. Step 3: Cross multiply
    214,088.06x = 470,547.56 × 470,547.56
  4. Step 4: Simplify right side
    214,088.06x = 221,415,008,574.69
  5. Step 5: Solve for x
    x = 221,415,008,574.69/214,088.06
  6. Step 6: Final answer
    x = 1,034,223.98

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.