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Finding the Third Proportional to 630,688 and 953,576

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Solution

The third proportional to 630,688 and 953,576 is: 1,441,770.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    630,688 : 953,576 = 953,576 : x
  2. Step 2: Convert to fraction form
    630,688/953,576 = 953,576/x
  3. Step 3: Cross multiply
    630,688x = 953,576 × 953,576
  4. Step 4: Simplify right side
    630,688x = 909,307,187,776
  5. Step 5: Solve for x
    x = 909,307,187,776/630,688
  6. Step 6: Final answer
    x = 1,441,770.24

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.