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Finding the Third Proportional to 261,509,835 and 574,031,652

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Solution

The third proportional to 261,509,835 and 574,031,652 is: 1,260,038,030.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,509,835 : 574,031,652 = 574,031,652 : x
  2. Step 2: Convert to fraction form
    261,509,835/574,031,652 = 574,031,652/x
  3. Step 3: Cross multiply
    261,509,835x = 574,031,652 × 574,031,652
  4. Step 4: Simplify right side
    261,509,835x = 329,512,337,497,849,088
  5. Step 5: Solve for x
    x = 329,512,337,497,849,088/261,509,835
  6. Step 6: Final answer
    x = 1,260,038,030.68

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.