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Finding the Third Proportional to 590,851.13 and 912,478.50

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Solution

The third proportional to 590,851.13 and 912,478.50 is: 1,409,182.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,851.13 : 912,478.50 = 912,478.50 : x
  2. Step 2: Convert to fraction form
    590,851.13/912,478.50 = 912,478.50/x
  3. Step 3: Cross multiply
    590,851.13x = 912,478.50 × 912,478.50
  4. Step 4: Simplify right side
    590,851.13x = 832,617,012,962.25
  5. Step 5: Solve for x
    x = 832,617,012,962.25/590,851.13
  6. Step 6: Final answer
    x = 1,409,182.41

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.