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Finding the Third Proportional to 475,088.63 and 700,032.38

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Solution

The third proportional to 475,088.63 and 700,032.38 is: 1,031,481.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,088.63 : 700,032.38 = 700,032.38 : x
  2. Step 2: Convert to fraction form
    475,088.63/700,032.38 = 700,032.38/x
  3. Step 3: Cross multiply
    475,088.63x = 700,032.38 × 700,032.38
  4. Step 4: Simplify right side
    475,088.63x = 490,045,326,048.14
  5. Step 5: Solve for x
    x = 490,045,326,048.14/475,088.63
  6. Step 6: Final answer
    x = 1,031,481.92

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.