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Finding the Third Proportional to 592,461 and 846,632.25

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Solution

The third proportional to 592,461 and 846,632.25 is: 1,209,845.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    592,461 : 846,632.25 = 846,632.25 : x
  2. Step 2: Convert to fraction form
    592,461/846,632.25 = 846,632.25/x
  3. Step 3: Cross multiply
    592,461x = 846,632.25 × 846,632.25
  4. Step 4: Simplify right side
    592,461x = 716,786,166,740.06
  5. Step 5: Solve for x
    x = 716,786,166,740.06/592,461
  6. Step 6: Final answer
    x = 1,209,845.32

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.