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Finding the Third Proportional to 557,007 and 812,038.50

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Solution

The third proportional to 557,007 and 812,038.50 is: 1,183,838.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,007 : 812,038.50 = 812,038.50 : x
  2. Step 2: Convert to fraction form
    557,007/812,038.50 = 812,038.50/x
  3. Step 3: Cross multiply
    557,007x = 812,038.50 × 812,038.50
  4. Step 4: Simplify right side
    557,007x = 659,406,525,482.25
  5. Step 5: Solve for x
    x = 659,406,525,482.25/557,007
  6. Step 6: Final answer
    x = 1,183,838.85

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.