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Finding the Third Proportional to 450,964 and 713,550

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Solution

The third proportional to 450,964 and 713,550 is: 1,129,033.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,964 : 713,550 = 713,550 : x
  2. Step 2: Convert to fraction form
    450,964/713,550 = 713,550/x
  3. Step 3: Cross multiply
    450,964x = 713,550 × 713,550
  4. Step 4: Simplify right side
    450,964x = 509,153,602,500
  5. Step 5: Solve for x
    x = 509,153,602,500/450,964
  6. Step 6: Final answer
    x = 1,129,033.81

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.