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Finding the Third Proportional to 476,052 and 652,776

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Solution

The third proportional to 476,052 and 652,776 is: 895,104.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,052 : 652,776 = 652,776 : x
  2. Step 2: Convert to fraction form
    476,052/652,776 = 652,776/x
  3. Step 3: Cross multiply
    476,052x = 652,776 × 652,776
  4. Step 4: Simplify right side
    476,052x = 426,116,506,176
  5. Step 5: Solve for x
    x = 426,116,506,176/476,052
  6. Step 6: Final answer
    x = 895,104.96

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.