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Finding the Third Proportional to 229,655 and 492,528

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Solution

The third proportional to 229,655 and 492,528 is: 1,056,296.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,655 : 492,528 = 492,528 : x
  2. Step 2: Convert to fraction form
    229,655/492,528 = 492,528/x
  3. Step 3: Cross multiply
    229,655x = 492,528 × 492,528
  4. Step 4: Simplify right side
    229,655x = 242,583,830,784
  5. Step 5: Solve for x
    x = 242,583,830,784/229,655
  6. Step 6: Final answer
    x = 1,056,296.75

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.