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Finding the Third Proportional to 402,666.19 and 590,464.69

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Solution

The third proportional to 402,666.19 and 590,464.69 is: 865,850.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,666.19 : 590,464.69 = 590,464.69 : x
  2. Step 2: Convert to fraction form
    402,666.19/590,464.69 = 590,464.69/x
  3. Step 3: Cross multiply
    402,666.19x = 590,464.69 × 590,464.69
  4. Step 4: Simplify right side
    402,666.19x = 348,648,547,184.47
  5. Step 5: Solve for x
    x = 348,648,547,184.47/402,666.19
  6. Step 6: Final answer
    x = 865,850.07

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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.