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Finding the Third Proportional to 590,752.13 and 916,504.31

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Solution

The third proportional to 590,752.13 and 916,504.31 is: 1,421,882.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,752.13 : 916,504.31 = 916,504.31 : x
  2. Step 2: Convert to fraction form
    590,752.13/916,504.31 = 916,504.31/x
  3. Step 3: Cross multiply
    590,752.13x = 916,504.31 × 916,504.31
  4. Step 4: Simplify right side
    590,752.13x = 839,980,154,831.10
  5. Step 5: Solve for x
    x = 839,980,154,831.10/590,752.13
  6. Step 6: Final answer
    x = 1,421,882.58

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.