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Finding the Third Proportional to 585,705.94 and 890,929.13

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Solution

The third proportional to 585,705.94 and 890,929.13 is: 1,355,210.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,705.94 : 890,929.13 = 890,929.13 : x
  2. Step 2: Convert to fraction form
    585,705.94/890,929.13 = 890,929.13/x
  3. Step 3: Cross multiply
    585,705.94x = 890,929.13 × 890,929.13
  4. Step 4: Simplify right side
    585,705.94x = 793,754,705,773.27
  5. Step 5: Solve for x
    x = 793,754,705,773.27/585,705.94
  6. Step 6: Final answer
    x = 1,355,210.28

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.