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Finding the Third Proportional to 347,476.50 and 761,382

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Solution

The third proportional to 347,476.50 and 761,382 is: 1,668,321.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,476.50 : 761,382 = 761,382 : x
  2. Step 2: Convert to fraction form
    347,476.50/761,382 = 761,382/x
  3. Step 3: Cross multiply
    347,476.50x = 761,382 × 761,382
  4. Step 4: Simplify right side
    347,476.50x = 579,702,549,924
  5. Step 5: Solve for x
    x = 579,702,549,924/347,476.50
  6. Step 6: Final answer
    x = 1,668,321.60

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.