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Finding the Third Proportional to 369,146.50 and 578,323

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Solution

The third proportional to 369,146.50 and 578,323 is: 906,029.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,146.50 : 578,323 = 578,323 : x
  2. Step 2: Convert to fraction form
    369,146.50/578,323 = 578,323/x
  3. Step 3: Cross multiply
    369,146.50x = 578,323 × 578,323
  4. Step 4: Simplify right side
    369,146.50x = 334,457,492,329
  5. Step 5: Solve for x
    x = 334,457,492,329/369,146.50
  6. Step 6: Final answer
    x = 906,029.16

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.