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Finding the Third Proportional to 452,530.13 and 670,966.88

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Solution

The third proportional to 452,530.13 and 670,966.88 is: 994,843.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,530.13 : 670,966.88 = 670,966.88 : x
  2. Step 2: Convert to fraction form
    452,530.13/670,966.88 = 670,966.88/x
  3. Step 3: Cross multiply
    452,530.13x = 670,966.88 × 670,966.88
  4. Step 4: Simplify right side
    452,530.13x = 450,196,547,347.27
  5. Step 5: Solve for x
    x = 450,196,547,347.27/452,530.13
  6. Step 6: Final answer
    x = 994,843.27

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.