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Finding the Third Proportional to 592,407 and 846,532.50

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Solution

The third proportional to 592,407 and 846,532.50 is: 1,209,670.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    592,407 : 846,532.50 = 846,532.50 : x
  2. Step 2: Convert to fraction form
    592,407/846,532.50 = 846,532.50/x
  3. Step 3: Cross multiply
    592,407x = 846,532.50 × 846,532.50
  4. Step 4: Simplify right side
    592,407x = 716,617,273,556.25
  5. Step 5: Solve for x
    x = 716,617,273,556.25/592,407
  6. Step 6: Final answer
    x = 1,209,670.50

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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.