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Finding the Third Proportional to 577,929.94 and 920,405.53

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Solution

The third proportional to 577,929.94 and 920,405.53 is: 1,465,828.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,929.94 : 920,405.53 = 920,405.53 : x
  2. Step 2: Convert to fraction form
    577,929.94/920,405.53 = 920,405.53/x
  3. Step 3: Cross multiply
    577,929.94x = 920,405.53 × 920,405.53
  4. Step 4: Simplify right side
    577,929.94x = 847,146,341,955.60
  5. Step 5: Solve for x
    x = 847,146,341,955.60/577,929.94
  6. Step 6: Final answer
    x = 1,465,828.79

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.