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Finding the Third Proportional to 480,829.50 and 761,382

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Solution

The third proportional to 480,829.50 and 761,382 is: 1,205,630.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    480,829.50 : 761,382 = 761,382 : x
  2. Step 2: Convert to fraction form
    480,829.50/761,382 = 761,382/x
  3. Step 3: Cross multiply
    480,829.50x = 761,382 × 761,382
  4. Step 4: Simplify right side
    480,829.50x = 579,702,549,924
  5. Step 5: Solve for x
    x = 579,702,549,924/480,829.50
  6. Step 6: Final answer
    x = 1,205,630.17

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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.